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Koolen, Jack H.

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Author ID: koolen.jack-h Recent zbMATH articles by "Koolen, Jack H."
Published as: Koolen, J.; Koolen, J. H.; Koolen, Jack; Koolen, Jack H.; Koolen, Jacobus; Koolen, Jacobus H.; Koolen, Jacobus Hendricus
Homepage: http://staff.ustc.edu.cn/~koolen/
External Links: MGP · ORCID · ResearchGate · dblp
Documents Indexed: 166 Publications since 1990, including 4 Books
all top 5

Co-Authors

8 single-authored
39 Moulton, Vincent L.
17 Bang, Sejeong
16 Huber, Katharina T.
15 Dress, Andreas W. M.
15 Park, Jongyook
12 Van Dam, Edwin Robert
11 Jurišić, Aleksandar
10 Cioabă, Sebastian M.
10 Hiraki, Akira
9 Qiao, Zhi
7 Brouwer, Andries Evert
7 Yang, Qianqian
6 Greaves, Gary
5 Markowsky, Greg T.
5 Yang, Jaeyoung
4 Gavrilyuk, Alexander L.
4 Haemers, Willem H.
4 Hayat, Sakander
4 Iqbal, Quaid
4 Lesser, Alice
4 Rehman, Masood Ur
4 Spillner, Andreas
3 Cheng, Ximing
3 Ghorbani, Ebrahim
3 Lee, Woo-Sun
3 Martin, William J.
3 Munemasa, Akihiro
3 Wu, Taoyang
2 Akbari, Saieed
2 Fujisaki, Tatsuya
2 Godsil, Christopher David
2 Grünewald, Stefan
2 Lee, Jaeho
2 Li, Weiqiang
2 Nozaki, Hiroshi
2 Oboudi, Mohammad Reza
2 Sano, Yoshio
2 Tanaka, Hajime
2 Taniguchi, Tetsuji
2 Terwilliger, Paul M.
2 Tönges, Udo
2 Xia, Zhengjiang
2 Yu, Hyonju
1 Abiad, Aida
1 Bandelt, Hans-Jürgen
1 Belardo, Francesco
1 Blokhuis, Aart
1 Brinkmann, Gunnar
1 Cámara, Marc
1 Chen, Yuelan
1 Chepoi, Victor D.
1 Choe, Young-Bin
1 Chung, Taeyoung
1 Coolsaet, Kris
1 Cushing, David
1 Dalfó, Cristina
1 Du, Shaofei
1 Dubickas, Artūras
1 Fiol, Miquel Angel
1 Guo, Ivan
1 Herrmann, Sven
1 Hirasaka, Mitsugu
1 Holland, Bryan W.
1 Huber Katharina T.
1 Jing, Yifan
1 Kamtue, Supanat
1 Kim, Hyung-Kook
1 Kim, Hyunkwang
1 Kim, Joohyung
1 Kim, Kijung
1 Klavžar, Sandi
1 Klin, Mikhail H.
1 Klucznik, Michael
1 Kwak, Jin Ho
1 Kwon, Yi-Sug
1 Laurent, Monique
1 Li, Yanran
1 Liu, Fenjin
1 Liu, Shiping
1 Ma, Jianmin
1 Miklavič, Štefko
1 Mulder, Henry Martyn
1 Münch, Florentin
1 Peyerimhoff, Norbert
1 Riaz, Muhammad Bilal
1 Riebeek, R. J.
1 Schrijver, Alexander
1 Shpectorov, Sergey Viktorovich
1 Song, Sung-Yell
1 Spence, Edward
1 Stevanović, Dragan
1 Szöllősi, Ferenc
1 Tagami, Makoto
1 Tan, Yingying
1 Vaessens, Robert Johannes Maria
1 van den Akker, J. Marjan
1 Vermette, Jason R.
1 Wang, Jianfeng
1 Weyer-Menkhoff, Jan
1 Xu, Mingyao
...and 1 more Co-Authors

Publications by Year

Citations contained in zbMATH

137 Publications have been cited 1,067 times in 637 Documents Cited by Year
Maximal energy graphs. Zbl 0976.05040
Koolen, Jack H.; Moulton, Vincent
73
2001
Distance-regular graphs. Zbl 1335.05062
van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime
56
2016
On the hyperbolicity of chordal graphs. Zbl 0985.05021
Brinkmann, Gunnar; Koolen, Jack H.; Moulton, V.
41
2001
Tight distance-regular graphs. Zbl 0959.05121
Jurišić, Aleksandar; Koolen, Jack; Terwilliger, Paul
37
2000
Basic phylogenetic combinatorics. Zbl 1298.92008
Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
36
2012
Hyperbolic bridged graphs. Zbl 1027.05035
Koolen, Jack H.; Moulton, Vincent
30
2002
Equiangular lines in Euclidean spaces. Zbl 1330.51006
Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc
29
2016
Shilla distance-regular graphs. Zbl 1221.05117
Koolen, Jack H.; Park, Jongyook
29
2010
Maximal energy bipartite graphs. Zbl 1015.05043
Koolen, Jack H.; Moulton, Vincent
29
2003
A new family of distance-regular graphs with unbounded diameter. Zbl 1074.05092
van Dam, E. R.; Koolen, J. H.
27
2005
Characterizing distance-regularity of graphs by the spectrum. Zbl 1105.05076
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.; Spence, E.
23
2006
Width and dual width of subsets in polynomial association schemes. Zbl 1018.05108
Brouwer, A. E.; Godsil, C. D.; Koolen, J. H.; Martin, W. J.
20
2003
A local approach to 1-homogeneous graphs. Zbl 0964.05073
Jurišić, Aleksandar; Koolen, Jack
19
2000
Krein parameters and antipodal tight graphs with diameter 3 and 4. Zbl 1024.05086
Jurišić, Aleksandar; Koolen, Jack
17
2002
The distance-regular graphs of valency four. Zbl 0929.05093
Brouwer, A. E.; Koolen, J. H.
16
1999
On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043
Koolen, J. H.; Bang, S.
15
2010
On line arrangements in the hyperbolic plane. Zbl 1023.52007
Dress, A.; Koolen, J. H.; Moulton, V.
15
2003
Distance-regular graphs with or at least half the valency. Zbl 1235.05043
Koolen, Jack H.; Park, Jongyook
14
2012
Delsarte clique graphs. Zbl 1109.05108
Bang, S.; Hiraki, A.; Koolen, J. H.
14
2007
1-homogeneous graphs with cocktail party \({\mu}\)-graphs. Zbl 1038.05059
Jurišić, Aleksandar; Koolen, Jack
14
2003
The vertex-connectivity of a distance-regular graph. Zbl 1175.05072
Brouwer, Andries E.; Koolen, Jack H.
13
2009
Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.
13
2007
Nonexistence of some antipodal distance-regular graphs of diameter four. Zbl 0958.05139
Jurišić, Aleksandar; Koolen, Jack
13
2000
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
12
2016
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
12
2015
Combinatorics of lopsided sets. Zbl 1087.05059
Bandelt, Hans-Jürgen; Chepoi, Victor; Dress, Andreas; Koolen, Jack
11
2006
\(\Delta\) additive and \(\Delta\) ultra-additive maps, Gromov’s trees, and the Farris transform. Zbl 1056.92042
Dress, A.; Holland, B.; Huber, K. T.; Koolen, J. H.; Moulton, V.; Weyer-Menkhoff, J.
11
2005
Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220
Jurišić, Aleksandar; Koolen, Jack
10
2011
An inequality involving the second largest and smallest eigenvalue of a distance-regular graph. Zbl 1226.05159
Koolen, Jack H.; Park, Jongyook; Yu, Hyonju
10
2011
Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
10
2010
The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333
Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H.
9
2009
Spectral characterization of the Hamming graphs. Zbl 1152.05041
Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H.
9
2008
Some properties of the twisted Grassmann graphs. Zbl 1111.05099
Fujisaki, Tatsuya; Koolen, Jack H.; Tagami, Makoto
9
2006
Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074
Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
8
2015
Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
8
2008
\(4n-10\). Zbl 1058.05063
Dress, Andreas W. M.; Koolen, Jack; Moulton, Vincent
8
2004
A root graph that is locally the line graph of the Petersen graph. Zbl 1023.05135
Brouwer, A. E.; Koolen, J. H.; Klin, M. H.
8
2003
Distance-regular graphs the distance matrix of which has only one positive eigenvalue. Zbl 0796.05070
Koolen, J. H.; Shpectorov, S. V.
8
1994
2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098
Qiao, Zhi; Du, Shao Fei; Koolen, Jack H.
7
2016
Graphs with many valencies and few eigenvalues. Zbl 1320.05082
van Dam, Edwin R.; Koolen, Jack H.; Xia, Zheng-Jiang
7
2015
Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103
Bang, S.; Hiraki, A.; Koolen, J. H.
7
2010
An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
7
2007
There are finitely many triangle-free distance-regular graphs with degree 8, 9 or 10. Zbl 1047.05043
Koolen, J. H.; Moulton, V.
7
2004
Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215
Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
6
2013
An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016
Dress, Andreas; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
6
2010
Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.
6
2010
A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Zbl 1230.05196
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jack H.; Oboudi, Mohammad Reza
6
2010
Optimal realizations of generic five-point metrics. Zbl 1184.05111
Koolen, Jack; Lesser, Alice; Moulton, Vincent
6
2009
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1182.05133
Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack
6
2008
Triangle- and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1070.05084
Jurišić, Aleksandar; Koolen, Jack; Miklavič, Štefko
6
2005
\(2kn-\binom{2k+1}{2}\). A note on extremal combinatorics of cyclic split systems. Zbl 0989.05123
Dress, A.; Klucznik, M.; Koolen, J.; Moulton, V.
6
2001
Equilateral dimension of the rectilinear space. Zbl 0970.51016
Koolen, Jack; Laurent, Monique; Schrijver, Alexander
6
2000
On uniformly geodetic graphs. Zbl 0787.05061
Koolen, J. H.
6
1993
On subgraphs in distance-regular graphs. Zbl 0786.05032
Koolen, J. H.
6
1992
Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072
Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H.
5
2018
Hypercubes are determined by their distance spectra. Zbl 1338.05067
Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid
5
2016
Regular graphs with maximal energy per vertex. Zbl 1298.05217
van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H.
5
2014
Disconnecting strongly regular graphs. Zbl 1282.05216
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
5
2014
A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045
Koolen, Jack H.; Park, Jongyook
5
2013
On electric resistances for distance-regular graphs. Zbl 1259.05193
Koolen, Jack H.; Markowsky, Greg; Park, Jongyook
5
2013
On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149
Cioabă, Sebastian M.; Kim, Kijung; Koolen, Jack H.
5
2012
On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs. Zbl 1218.05086
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza
5
2010
On the structure of the tight-span of a totally split-decomposable metric. Zbl 1094.54012
Huber, K. T.; Koolen, J. H.; Moulton, V.
5
2006
A Higman-Haemers inequality for thick regular near polygons. Zbl 1068.05071
Hiraki, Akira; Koolen, Jack
5
2004
An improvement of the Godsil bound. Zbl 1009.05138
Hiraki, Akira; Koolen, Jack
5
2002
On a conjecture of Bannai and Ito: There are finitely many distance-regular graphs with degree 5, 6 or 7. Zbl 1012.05160
Koolen, J. H.; Moulton, V.
5
2002
Tight 2-designs and perfect 1-codes in Doob graphs. Zbl 0974.05011
Koolen, J. H.; Munemasa, A.
5
2000
On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071
Koolen, Jack H.; Yang, Jae Young; Yang, Qianqian
4
2018
A valency bound for distance-regular graphs. Zbl 1377.05052
Qiao, Zhi; Koolen, Jack
4
2018
Arithmetic completely regular codes. Zbl 1336.05135
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.; Tanaka, Hajime
4
2016
A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089
Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young
4
2016
Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198
Bang, Sejeong; Koolen, Jack H.; Park, Jongyook
4
2015
On geometric distance-regular graphs with diameter three. Zbl 1284.05077
Bang, Sejeong; Koolen, J. H.
4
2014
On the connectedness of the complement of a ball in distance-regular graphs. Zbl 1269.05118
Cioabă, Sebastian M.; Koolen, Jack H.
4
2013
A relationship between the diameter and the intersection number \(c _{2}\) for a distance-regular graph. Zbl 1245.05037
Koolen, Jack H.; Park, Jongyook
4
2012
Graphs cospectral with \(H(3,q)\) which are disjoint unions of at most three complete graphs. Zbl 1163.05041
Bang, S.; Koolen, J. H.
4
2008
Cut points in metric spaces. Zbl 1142.54007
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
4
2008
Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126
Bang, S.; Koolen, J. H.; Moulton, V.
4
2007
The tight span of an antipodal metric space. II: Geometrical properties. Zbl 1081.52015
Huber, Katharina T.; Koolen, Jacobus H.; Moulton, Vincent
4
2004
An improvement of the Ivanov bound. Zbl 0929.05092
Hiraki, Akira; Koolen, Jack
4
1998
Edge-regular graphs with regular cliques. Zbl 1387.05272
Greaves, Gary R. W.; Koolen, Jack H.
3
2018
Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130
Bang, Sejeong; Koolen, Jack
3
2017
Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
3
2017
2-walk-regular graphs with a small number of vertices compared to the valency. Zbl 1352.05063
Qiao, Zhi; Koolen, Jack H.; Park, Jongyook
3
2016
A note on graphs with exactly two main eigenvalues. Zbl 1347.05115
Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi
3
2016
Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R.
3
2016
A collection of results concerning electric resistance and simple random walk on distance-regular graphs. Zbl 1327.05308
Koolen, Jack H.; Markowsky, Greg
3
2016
Blocks and cut vertices of the Buneman graph. Zbl 1237.05043
Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V.
3
2011
The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151
Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji
3
2011
The distance-regular graphs such that all of its second largest local eigenvalues are at most one. Zbl 1222.05163
Koolen, Jack H.; Yu, Hyonju
3
2011
Triangle-free distance-regular graphs with an eigenvalue multiplicity equal to their valency and diameter 3. Zbl 1133.05104
Jurišić, Aleksandar; Koolen, Jack; Žitnik, Arjana
3
2008
Concerning the relationship between realizations and tight spans of finite metrics. Zbl 1145.54024
Koolen, Jack; Lesser, Alice; Moulton, Vincent
3
2007
The tight span of an antipodal metric space. I: combinatorial properties. Zbl 1082.54017
Huber, K. T.; Koolen, J. H.; Moulton, V.
3
2005
A generalization of an inequality of Brouwer–Wilbrink. Zbl 1113.52006
Hiraki, Akira; Koolen, Jack
3
2005
Six points suffice: How to check for metric consistency. Zbl 0985.05016
Dress, A.; Huber, K. T.; Koolen, J. H.; Moulton, V.
3
2001
A classification of the six-point prime metrics. Zbl 0988.54030
Koolen, Jack; Moulton, Vincent; Tönges, Udo
3
2000
The coherency index. Zbl 0951.54028
Koolen, Jack; Moulton, Vincent; Tönges, Udo
3
1998
A new condition for distance-regular graphs. Zbl 0762.05044
Koolen, J. H.
3
1992
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature. Zbl 1440.05069
Cushing, D.; Kamtue, S.; Koolen, J.; Liu, S.; Münch, F.; Peyerimhoff, N.
2
2020
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
2
2018
Rigidity of the Bonnet-Myers inequality for graphs with respect to Ollivier Ricci curvature. Zbl 1440.05069
Cushing, D.; Kamtue, S.; Koolen, J.; Liu, S.; Münch, F.; Peyerimhoff, N.
2
2020
The spectral excess theorem for graphs with few eigenvalues whose distance-2 or distance-1-or-2 graph is strongly regular. Zbl 1425.05091
Dalfó, Cristina; Fiol, M. A.; Koolen, J.
1
2019
Non-bipartite distance-regular graphs with a small smallest eigenvalue. Zbl 1416.05096
Qiao, Zhi; Jing, Yifan; Koolen, Jack
1
2019
A generalization of a theorem of Hoffman. Zbl 1404.05111
Koolen, Jack H.; Yang, Qianqian; Yang, Jae Young
1
2019
A spectral characterization of the \(s\)-clique extension of the square grid graphs. Zbl 1402.05166
Hayat, Sakander; Koolen, Jack H.; Riaz, Muhammad
1
2019
Graphs with three eigenvalues and second largest eigenvalue at most 1. Zbl 1379.05072
Cheng, Xi-Ming; Greaves, Gary R. W.; Koolen, Jack H.
5
2018
On graphs with smallest eigenvalue at least \(-3\) and their lattices. Zbl 1396.05071
Koolen, Jack H.; Yang, Jae Young; Yang, Qianqian
4
2018
A valency bound for distance-regular graphs. Zbl 1377.05052
Qiao, Zhi; Koolen, Jack
4
2018
Edge-regular graphs with regular cliques. Zbl 1387.05272
Greaves, Gary R. W.; Koolen, Jack H.
3
2018
Open problems in the spectral theory of signed graphs. Zbl 1421.05052
Belardo, Francesco; Cioabă, Sebastian M.; Koolen, Jack; Wang, Jianfeng
2
2018
Partially metric association schemes with a multiplicity three. Zbl 1384.05185
van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
2
2018
Distance-regular graphs of diameter 3 having eigenvalue \(-1\). Zbl 1370.05130
Bang, Sejeong; Koolen, Jack
3
2017
Max-cut and extendability of matchings in distance-regular graphs. Zbl 1358.05083
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
3
2017
Light tails and the Hermitian dual polar graphs. Zbl 1367.05173
Koolen, Jack; Qiao, Zhi
2
2017
An application of Hoffman graphs for spectral characterizations of graphs. Zbl 1355.05163
Yang, Qianqian; Abiad, Aida; Koolen, Jack H.
2
2017
Distance-regular graphs. Zbl 1335.05062
van Dam, Edwin R.; Koolen, Jack H.; Tanaka, Hajime
56
2016
Equiangular lines in Euclidean spaces. Zbl 1330.51006
Greaves, Gary; Koolen, Jacobus H.; Munemasa, Akihiro; Szöllősi, Ferenc
29
2016
Biregular graphs with three eigenvalues. Zbl 1335.05107
Cheng, Xi-Ming; Gavrilyuk, Alexander L.; Greaves, Gary R. W.; Koolen, Jack H.
12
2016
2-walk-regular dihedrants from group-divisible designs. Zbl 1339.05098
Qiao, Zhi; Du, Shao Fei; Koolen, Jack H.
7
2016
Hypercubes are determined by their distance spectra. Zbl 1338.05067
Koolen, Jack H.; Hayat, Sakander; Iqbal, Quaid
5
2016
Arithmetic completely regular codes. Zbl 1336.05135
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.; Tanaka, Hajime
4
2016
A structure theory for graphs with fixed smallest eigenvalue. Zbl 1336.05089
Kim, Hyun Kwang; Koolen, Jack H.; Yang, Jae Young
4
2016
2-walk-regular graphs with a small number of vertices compared to the valency. Zbl 1352.05063
Qiao, Zhi; Koolen, Jack H.; Park, Jongyook
3
2016
A note on graphs with exactly two main eigenvalues. Zbl 1347.05115
Hayat, Sakander; Koolen, Jack H.; Liu, Fenjin; Qiao, Zhi
3
2016
Maximizing the order of a regular graph of given valency and second eigenvalue. Zbl 1344.05086
Cioabă, Sebastian M.; Koolen, Jack H.; Nozaki, Hiroshi; Vermette, Jason R.
3
2016
A collection of results concerning electric resistance and simple random walk on distance-regular graphs. Zbl 1327.05308
Koolen, Jack H.; Markowsky, Greg
3
2016
There are only finitely many distance-regular graphs of fixed valency greater than two. Zbl 1303.05044
Bang, S.; Dubickas, A.; Koolen, J. H.; Moulton, V.
12
2015
Edge-signed graphs with smallest eigenvalue greater than \(-2\). Zbl 1302.05074
Greaves, Gary; Koolen, Jack; Munemasa, Akihiro; Sano, Yoshio; Taniguchi, Tetsuji
8
2015
Graphs with many valencies and few eigenvalues. Zbl 1320.05082
van Dam, Edwin R.; Koolen, Jack H.; Xia, Zheng-Jiang
7
2015
Some results on the eigenvalues of distance-regular graphs. Zbl 1327.05198
Bang, Sejeong; Koolen, Jack H.; Park, Jongyook
4
2015
Optimal realizations of two-dimensional, totally-decomposable metrics. Zbl 1310.05111
Herrmann, Sven; Koolen, Jack H.; Lesser, Alice; Moulton, Vincent; Wu, Taoyang
1
2015
The Terwilliger polynomial of a \(Q\)-polynomial distance-regular graph and its application to pseudo-partition graphs. Zbl 1303.05214
Gavrilyuk, Alexander L.; Koolen, Jack H.
1
2015
Regular graphs with maximal energy per vertex. Zbl 1298.05217
van Dam, Edwin R.; Haemers, Willem H.; Koolen, Jack H.
5
2014
Disconnecting strongly regular graphs. Zbl 1282.05216
Cioabă, Sebastian M.; Koolen, Jack; Li, Weiqiang
5
2014
On geometric distance-regular graphs with diameter three. Zbl 1284.05077
Bang, Sejeong; Koolen, J. H.
4
2014
Geometric aspects of 2-walk-regular graphs. Zbl 1282.05215
Cámara, Marc; van Dam, Edwin R.; Koolen, Jack H.; Park, Jongyook
6
2013
A note on distance-regular graphs with a small number of vertices compared to the valency. Zbl 1285.05045
Koolen, Jack H.; Park, Jongyook
5
2013
On electric resistances for distance-regular graphs. Zbl 1259.05193
Koolen, Jack H.; Markowsky, Greg; Park, Jongyook
5
2013
On the connectedness of the complement of a ball in distance-regular graphs. Zbl 1269.05118
Cioabă, Sebastian M.; Koolen, Jack H.
4
2013
Distance-regular graphs with a relatively small eigenvalue multiplicity. Zbl 1267.05298
Koolen, Jack H.; Kim, Joohyung; Park, Jongyook
1
2013
Basic phylogenetic combinatorics. Zbl 1298.92008
Dress, Andreas; Huber Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
36
2012
Distance-regular graphs with or at least half the valency. Zbl 1235.05043
Koolen, Jack H.; Park, Jongyook
14
2012
On a conjecture of Brouwer involving the connectivity of strongly regular graphs. Zbl 1241.05149
Cioabă, Sebastian M.; Kim, Kijung; Koolen, Jack H.
5
2012
A relationship between the diameter and the intersection number \(c _{2}\) for a distance-regular graph. Zbl 1245.05037
Koolen, Jack H.; Park, Jongyook
4
2012
Injective optimal realizations of finite metric spaces. Zbl 1242.05114
Koolen, Jack H.; Lesser, Alice; Moulton, Vincent; Wu, Taoyang
1
2012
Classification of the family AT4(\(qs,q,q\)) of antipodal tight graphs. Zbl 1238.05220
Jurišić, Aleksandar; Koolen, Jack
10
2011
An inequality involving the second largest and smallest eigenvalue of a distance-regular graph. Zbl 1226.05159
Koolen, Jack H.; Park, Jongyook; Yu, Hyonju
10
2011
Blocks and cut vertices of the Buneman graph. Zbl 1237.05043
Dress, A. W. M.; Huber, K. T.; Koolen, J.; Moulton, V.
3
2011
The non-bipartite integral graphs with spectral radius three. Zbl 1222.05151
Chung, Taeyoung; Koolen, Jack; Sano, Yoshio; Taniguchi, Tetsuji
3
2011
The distance-regular graphs such that all of its second largest local eigenvalues are at most one. Zbl 1222.05163
Koolen, Jack H.; Yu, Hyonju
3
2011
Shilla distance-regular graphs. Zbl 1221.05117
Koolen, Jack H.; Park, Jongyook
29
2010
On distance-regular graphs with smallest eigenvalue at least \(- m\). Zbl 1203.05043
Koolen, J. H.; Bang, S.
15
2010
Asymptotic results on the spectral radius and the diameter of graphs. Zbl 1209.05140
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
10
2010
Delsarte set graphs with small \(c_{2}\). Zbl 1221.05103
Bang, S.; Hiraki, A.; Koolen, J. H.
7
2010
An algorithm for computing cutpoints in finite metric spaces. Zbl 1337.54016
Dress, Andreas; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
6
2010
Characterizing completely regular codes from an algebraic viewpoint. Zbl 1231.05300
Koolen, Jacobus H.; Lee, Woo Sun; Martin, William J.
6
2010
A relation between the Laplacian and signless Laplacian eigenvalues of a graph. Zbl 1230.05196
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jack H.; Oboudi, Mohammad Reza
6
2010
On sum of powers of the Laplacian and signless Laplacian eigenvalues of graphs. Zbl 1218.05086
Akbari, Saieed; Ghorbani, Ebrahim; Koolen, Jacobus H.; Oboudi, Mohammad Reza
5
2010
A lower bound for the spectral radius of graphs with fixed diameter. Zbl 1217.05139
Cioabă, Sebastian M.; van Dam, Edwin R.; Koolen, Jack H.; Lee, Jae-Ho
1
2010
A conjecture of Biggs concerning the resistance of a distance-regular graph. Zbl 1225.05256
Markowsky, Greg; Koolen, Jacobus
1
2010
The vertex-connectivity of a distance-regular graph. Zbl 1175.05072
Brouwer, Andries E.; Koolen, Jack H.
13
2009
The spectra of the local graphs of the twisted Grassmann graphs. Zbl 1172.05333
Bang, Sejeong; Fujisaki, Tatsuya; Koolen, J. H.
9
2009
Optimal realizations of generic five-point metrics. Zbl 1184.05111
Koolen, Jack; Lesser, Alice; Moulton, Vincent
6
2009
Bounds for the Hückel energy of a graph. Zbl 1186.05080
Ghorbani, Ebrahim; Koolen, Jack H.; Yang, Jae Young
2
2009
There are only finitely many regular near polygons and geodetic distance-regular graphs with fixed valency. Zbl 1247.05273
Bang, S.; Koolen, J. H.; Moulton, V.
1
2009
Quartets in maximal weakly compatible split systems. Zbl 1171.05432
Grünewald, S.; Koolen, J. H.; Lee, W. S.
1
2009
A graph-theoretical invariant of topological spaces. Zbl 1163.54300
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
1
2009
Spectral characterization of the Hamming graphs. Zbl 1152.05041
Bang, Sejeong; van Dam, Edwin R.; Koolen, Jack H.
9
2008
Compatible decompositions and block realizations of finite metrics. Zbl 1179.05029
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
8
2008
On triangle-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1182.05133
Coolsaet, Kris; Jurišić, Aleksandar; Koolen, Jack
6
2008
Graphs cospectral with \(H(3,q)\) which are disjoint unions of at most three complete graphs. Zbl 1163.05041
Bang, S.; Koolen, J. H.
4
2008
Cut points in metric spaces. Zbl 1142.54007
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
4
2008
Triangle-free distance-regular graphs with an eigenvalue multiplicity equal to their valency and diameter 3. Zbl 1133.05104
Jurišić, Aleksandar; Koolen, Jack; Žitnik, Arjana
3
2008
Block realizations of finite metrics and the tight-span construction. I: The embedding theorem. Zbl 1193.05071
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
2
2008
Counting vertices and cubes in median graphs of circular split systems. Zbl 1135.05069
Choe, Y. B.; Huber, K. T.; Koolen, J. H.; Kwon, Y. S.; Moulton, V.
2
2008
Characterizing cell-decomposable metrics. Zbl 1164.54022
Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent; Spillner, Andreas
1
2008
Characterization of the Patterson graph. Zbl 1168.05314
Brouwer, A. E.; Jurišić, A.; Koolen, J. H.
1
2008
Delsarte clique graphs. Zbl 1109.05108
Bang, S.; Hiraki, A.; Koolen, J. H.
14
2007
Cospectral graphs and the generalized adjacency matrix. Zbl 1118.05066
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.
13
2007
An algorithm for computing virtual cut points in finite metric spaces. Zbl 1175.05049
Dress, Andreas W. M.; Huber, Katharina T.; Koolen, Jacobus; Moulton, Vincent
7
2007
Two theorems concerning the Bannai-Ito conjecture. Zbl 1121.05126
Bang, S.; Koolen, J. H.; Moulton, V.
4
2007
Concerning the relationship between realizations and tight spans of finite metrics. Zbl 1145.54024
Koolen, Jack; Lesser, Alice; Moulton, Vincent
3
2007
Distance-regular graphs with complete multipartite \(\mu\)-graphs and AT4 family. Zbl 1117.05111
Jurišić, Aleksandar; Koolen, Jack
2
2007
Characterizing distance-regularity of graphs by the spectrum. Zbl 1105.05076
van Dam, E. R.; Haemers, W. H.; Koolen, J. H.; Spence, E.
23
2006
Combinatorics of lopsided sets. Zbl 1087.05059
Bandelt, Hans-Jürgen; Chepoi, Victor; Dress, Andreas; Koolen, Jack
11
2006
Some properties of the twisted Grassmann graphs. Zbl 1111.05099
Fujisaki, Tatsuya; Koolen, Jack H.; Tagami, Makoto
9
2006
On the structure of the tight-span of a totally split-decomposable metric. Zbl 1094.54012
Huber, K. T.; Koolen, J. H.; Moulton, V.
5
2006
Improving diameter bounds for distance-regular graphs. Zbl 1078.05089
Bang, S.; Hiraki, A.; Koolen, J. H.
2
2006
A new family of distance-regular graphs with unbounded diameter. Zbl 1074.05092
van Dam, E. R.; Koolen, J. H.
27
2005
\(\Delta\) additive and \(\Delta\) ultra-additive maps, Gromov’s trees, and the Farris transform. Zbl 1056.92042
Dress, A.; Holland, B.; Huber, K. T.; Koolen, J. H.; Moulton, V.; Weyer-Menkhoff, J.
11
2005
Triangle- and pentagon-free distance-regular graphs with an eigenvalue multiplicity equal to the valency. Zbl 1070.05084
Jurišić, Aleksandar; Koolen, Jack; Miklavič, Štefko
6
2005
The tight span of an antipodal metric space. I: combinatorial properties. Zbl 1082.54017
Huber, K. T.; Koolen, J. H.; Moulton, V.
3
2005
A generalization of an inequality of Brouwer–Wilbrink. Zbl 1113.52006
Hiraki, Akira; Koolen, Jack
3
2005
\(4n-10\). Zbl 1058.05063
Dress, Andreas W. M.; Koolen, Jack; Moulton, Vincent
8
2004
There are finitely many triangle-free distance-regular graphs with degree 8, 9 or 10. Zbl 1047.05043
Koolen, J. H.; Moulton, V.
7
2004
A Higman-Haemers inequality for thick regular near polygons. Zbl 1068.05071
Hiraki, Akira; Koolen, Jack
5
2004
The tight span of an antipodal metric space. II: Geometrical properties. Zbl 1081.52015
Huber, Katharina T.; Koolen, Jacobus H.; Moulton, Vincent
4
2004
The regular near polygons of order \((s,2)\). Zbl 1059.05109
Hiraki, Akira; Koolen, Jack
2
2004
A note on regular near polygons. Zbl 1055.05155
Hiraki, Akira; Koolen, Jack
2
2004
The structure of spherical graphs. Zbl 1033.05089
Koolen, J. H.; Moulton, V.; Stevanović, D.
1
2004
...and 37 more Documents
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Cited by 703 Authors

98 Koolen, Jack H.
35 Moulton, Vincent L.
29 Rodríguez García, José Manuel
28 Makhnëv, Aleksandr Alekseevich
20 Huber, Katharina T.
18 Sigarreta Almira, José María
17 Bang, Sejeong
17 Dress, Andreas W. M.
15 Jurišić, Aleksandar
15 Park, Jongyook
15 Van Dam, Edwin Robert
13 Cioabă, Sebastian M.
12 Gutman, Ivan M.
12 Haemers, Willem H.
12 Hiraki, Akira
12 Paduchikh, Dmitriĭ Viktorovich
12 Terwilliger, Paul M.
11 Pestana, Domingo
11 Suzuki, Hiroshi
10 Tanaka, Hajime
9 Gavrilyuk, Alexander L.
8 Das, Kinkar Chandra
8 Fiol, Miquel Angel
8 Nikiforov, Vladimir S.
8 Qiao, Zhi
8 Rada, Juan
7 Belousov, Ivan Nikolaevich
7 Miklavič, Štefko
6 Belardo, Francesco
6 Chepoi, Victor D.
6 Greaves, Gary
6 Rifà, Josep
6 Rubei, Elena
6 Spillner, Andreas
6 Wang, Jianfeng
6 Wang, Kaishun
6 Wu, Taoyang
6 Zinov’ev, Viktor Aleksandrovich
5 Bermudo, Sergio
5 Carballosa, Walter
5 Dalfó, Cristina
5 Goryainov, Sergey V.
5 Granados, Ana
5 Hernández, Verónica
5 Herrmann, Sven
5 Huang, Qiongxiang
5 Klavžar, Sandi
5 Krotov, Denis S.
5 Lee, Jaeho
5 MacLean, Mark S.
5 Munemasa, Akihiro
5 Shi, Lingsheng
5 Stevanović, Dragan
5 Yu, Wei-Hsuan
4 Abiad, Aida
4 Baldisserri, Agnese
4 Borges, Joaquim
4 Brouwer, Andries Evert
4 Hansen, Pierre
4 Hayat, Sakander
4 Iqbal, Quaid
4 Lu, Lu
4 Pilaud, Vincent
4 Praeger, Cheryl Elisabeth
4 Tayfeh-Rezaie, Behruz
4 Vidali, Janoš
4 Villeta, María
4 Yang, Qianqian
3 Aouchiche, Mustapha
3 Bailey, Robert F.
3 Bannai, Eiichi
3 Cantón, Alicia
3 Carmona, Ángeles
3 Cheng, Ximing
3 Coudert, David
3 De Bruyn, Bart
3 Ganie, Hilal Ahmad
3 Grünewald, Stefan
3 Guo, Jun
3 Hou, Yaoping
3 Huang, Xueyi
3 Ihringer, Ferdinand
3 Ito, Tatsuro
3 Jungnickel, Dieter
3 Kabanov, Vladislav Vladimirovich
3 Knauer, Kolja B.
3 Koichi, Shungo
3 Lan, Jingfen
3 Lesser, Alice
3 Li, Fenggao
3 Li, Xueliang
3 Lu, Linyuan
3 Maden, Ayşe Dilek
3 Markowsky, Greg T.
3 Martin, William J.
3 Milovanović, Emina I.
3 Milovanović, Igor Ž.
3 Mohar, Bojan
3 Mojallal, Seyed Ahmad
3 Moran, Shay
...and 603 more Authors
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Cited in 132 Serials

95 Linear Algebra and its Applications
61 European Journal of Combinatorics
41 Discrete Mathematics
32 Journal of Algebraic Combinatorics
27 Journal of Combinatorial Theory. Series A
24 Graphs and Combinatorics
23 Discrete Applied Mathematics
20 Designs, Codes and Cryptography
15 Linear and Multilinear Algebra
14 The Electronic Journal of Combinatorics
13 Journal of Combinatorial Theory. Series B
12 Sibirskie Èlektronnye Matematicheskie Izvestiya
10 Applied Mathematics Letters
10 Proceedings of the Steklov Institute of Mathematics
9 Advances in Mathematics
8 Applied Mathematics and Computation
8 Doklady Mathematics
7 ELA. The Electronic Journal of Linear Algebra
6 Journal of Classification
6 Journal of Mathematical Chemistry
5 Journal of Mathematical Analysis and Applications
5 Bulletin of Mathematical Biology
5 SIAM Journal on Discrete Mathematics
4 Journal of Mathematical Biology
4 Mathematical Notes
4 Theoretical Computer Science
4 Discrete & Computational Geometry
4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
4 Annals of Combinatorics
4 Acta Mathematica Sinica. English Series
4 Symmetry
3 Indian Journal of Pure & Applied Mathematics
3 Advances in Applied Mathematics
3 Algorithmica
3 Discussiones Mathematicae. Graph Theory
3 Central European Journal of Mathematics
2 Communications in Algebra
2 Computers & Mathematics with Applications
2 Israel Journal of Mathematics
2 Automatica
2 Inventiones Mathematicae
2 Michigan Mathematical Journal
2 Combinatorica
2 Bulletin of the Iranian Mathematical Society
2 Experimental Mathematics
2 Finite Fields and their Applications
2 Séminaire Lotharingien de Combinatoire
2 Journal of Inequalities and Applications
2 Algebraic & Geometric Topology
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Journal of Applied Mathematics and Computing
2 Vladikavkazskiĭ Matematicheskiĭ Zhurnal
2 Journal of the Indonesian Mathematical Society
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Asian-European Journal of Mathematics
2 Ars Mathematica Contemporanea
2 Discrete Mathematics, Algorithms and Applications
2 Science China. Mathematics
2 Palestine Journal of Mathematics
1 International Journal of Modern Physics B
1 International Journal of Engineering Science
1 Information Processing Letters
1 Journal of the Mechanics and Physics of Solids
1 Mathematical Biosciences
1 Problems of Information Transmission
1 Theoretical and Mathematical Physics
1 Mathematics of Computation
1 The Mathematical Intelligencer
1 Algebra and Logic
1 Colloquium Mathematicum
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of Algebra
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1 Journal of Graph Theory
1 Journal für die Reine und Angewandte Mathematik
1 Monatshefte für Mathematik
1 Proceedings of the American Mathematical Society
1 Theoretical Population Biology
1 Topology and its Applications
1 Operations Research Letters
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Computers & Operations Research
1 Sugaku Expositions
1 Japan Journal of Industrial and Applied Mathematics
1 Aequationes Mathematicae
1 Elemente der Mathematik
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Expositiones Mathematicae
1 The Australasian Journal of Combinatorics
1 Calculus of Variations and Partial Differential Equations
1 Applied and Computational Harmonic Analysis
1 Algebra Colloquium
1 Journal of Mathematical Sciences (New York)
1 Computational and Applied Mathematics
1 Journal of the Egyptian Mathematical Society
1 Journal of Combinatorial Designs
1 Computer Science Journal of Moldova
1 Sbornik: Mathematics
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Cited in 44 Fields

563 Combinatorics (05-XX)
41 Convex and discrete geometry (52-XX)
41 Biology and other natural sciences (92-XX)
38 Linear and multilinear algebra; matrix theory (15-XX)
29 Geometry (51-XX)
28 Group theory and generalizations (20-XX)
28 Information and communication theory, circuits (94-XX)
25 General topology (54-XX)
20 Computer science (68-XX)
14 Operations research, mathematical programming (90-XX)
13 Differential geometry (53-XX)
8 Number theory (11-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Special functions (33-XX)
7 Manifolds and cell complexes (57-XX)
6 Associative rings and algebras (16-XX)
6 Probability theory and stochastic processes (60-XX)
6 Quantum theory (81-XX)
5 Algebraic geometry (14-XX)
5 Nonassociative rings and algebras (17-XX)
5 Statistics (62-XX)
4 Functional analysis (46-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Real functions (26-XX)
3 Numerical analysis (65-XX)
3 Mechanics of deformable solids (74-XX)
3 Systems theory; control (93-XX)
2 History and biography (01-XX)
2 Mathematical logic and foundations (03-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Commutative algebra (13-XX)
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2 Fluid mechanics (76-XX)
2 Relativity and gravitational theory (83-XX)
1 Category theory; homological algebra (18-XX)
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1 Calculus of variations and optimal control; optimization (49-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)

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