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Slater, Peter James

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Author ID: slater.peter-james Recent zbMATH articles by "Slater, Peter James"
Published as: Slater, Peter J.; Slater, P. J.; Slater, Peter; Slater, P.; Slater, Peter James
Further Spellings: Slater, Peter John
Homepage: https://www.uah.edu/science/departments/math/faculty-staff/peter-slater
External Links: MGP · dblp · GND
Documents Indexed: 232 Publications since 1972, including 1 Book
2 Contributions as Editor · 1 Further Contribution
Biographic References: 1 Publication
Co-Authors: 107 Co-Authors with 174 Joint Publications
2,675 Co-Co-Authors
all top 5

Co-Authors

61 single-authored
17 Haynes, Teresa W.
17 Hedetniemi, Stephen Travis
15 Seo, Suk Jai
13 Amin, Ashok T.
13 Henning, Michael Anthony
11 Bange, David W.
11 Barkauskas, Anthony E.
8 Siegrist, Kyle T.
6 Hedetniemi, Sandra Lee Mitchell
6 Sinko, Anne C.
5 Entringer, Roger Charles
5 Grinstead, Dana L.
5 Rubalcaba, Robert R.
4 Goddard, Wayne Dean
4 O’Neal, Allen
4 Phillips, James B.
4 Sewell, J. Louis
3 Chartrand, Gary Theodore
3 Erwin, David John
3 Goodman, Seymour E.
3 Hattingh, Johannes H.
3 Johnson, Terri Wilhite
3 Lampert, Douglas E.
3 Maurer, Stephen B.
3 Rall, Douglas F.
3 Schneider, Andrew
3 Smart, Chris B.
3 Zhang, Ping
2 Acharya, Belmannu Devadas
2 Barbosa, Rommel M.
2 Bascuñán, M. E.
2 Chan, Onn
2 Chellali, Mustapha
2 Chen, Chuan-Chong
2 Cockayne, Ernest J.
2 Dunbar, Jean E.
2 Harary, Frank
2 Host, Linda H.
2 Hulme, Bernie L.
2 McRae, Alice A.
2 Ragukumar, P.
2 Roden-Bowie, Miranda L.
2 Roden, Miranda L.
2 Sethuraman, G.
2 Simmons, Gustavus James
2 Trees, Eric L.
2 Vélez, William Yslas
2 Walsh, Matthew
1 Abhishek, Kumar
1 Arumugam, Subramanian
1 Brigham, Robert C.
1 Buckley, Fred
1 Caron, Richard M.
1 Chaiken, Seth
1 Chvátal, Václav
1 Cikanek, Dana Grinstead
1 Clark, Lane H.
1 Colbourn, Charles J.
1 Dankelmann, Peter
1 Dewdney, A. K.
1 Dow, Stephen J.
1 Favaron, Odile
1 Fisk, Steve
1 Foucaud, Florent
1 Gavlas, Heather Jordon
1 Germina, K. A.
1 Gibbs, Richard A.
1 Gibson, Peter M.
1 Godbold, Richard D.
1 Hernando, Carmen
1 Holmes, Nancy D.
1 Jackson, Douglas E.
1 Jafari Rad, Nader
1 Johnson, Peter D. jun.
1 Klasing, Ralf
1 Koh, Khee Meng
1 Laskar, Renu Chakravarti
1 Lawler, Eugene L.
1 Lim, Bock Boom
1 Markus, Lisa R.
1 Marples, P. L.
1 Mashburn, J. L.
1 Meiers, Debra L.
1 Miller, Zevi
1 Mimouni, Malika
1 Mora, Mercè
1 Morgan, Christine A.
1 Oellermann, Ortrud R.
1 Peyrat, Claudine
1 Philips, James B.
1 Proffitt, Kenneth E.
1 Quintas, Louis V.
1 Raines, Michael E.
1 Schultz, Kelly
1 Schwenk, Allen J.
1 Selig, W. J.
1 Sherwani, Naveed A.
1 Shiver, A. W.
1 Sterling, Christopher
1 Stewart, Lorna K.
...and 10 more Co-Authors
all top 5

Serials

28 Congressus Numerantium
23 Discrete Mathematics
18 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
12 Bulletin of the Institute of Combinatorics and its Applications
11 Networks
10 Ars Combinatoria
9 Journal of Graph Theory
7 AKCE International Journal of Graphs and Combinatorics
6 Journal of Combinatorial Theory. Series B
6 Utilitas Mathematica
5 The Australasian Journal of Combinatorics
4 Discrete Applied Mathematics
4 Discussiones Mathematicae. Graph Theory
3 Information Processing Letters
2 American Mathematical Monthly
2 The Fibonacci Quarterly
2 Journal of the Association for Computing Machinery
2 Pacific Journal of Mathematics
2 SIAM Journal on Algebraic and Discrete Methods
2 Journal of the Indonesian Mathematical Society
2 Journal of Research of the National Bureau of Standards
2 Pure and Applied Mathematics, Marcel Dekker
2 Electronic Journal of Graph Theory and Applications
1 Journal of the Franklin Institute
1 Journal of Mathematical and Physical Sciences
1 Journal of Research of the National Bureau of Standards
1 Linear and Multilinear Algebra
1 Canadian Mathematical Bulletin
1 IEEE Transactions on Circuits and Systems
1 Journal of Combinatorics, Information & System Sciences
1 Journal of Number Theory
1 Match
1 Nanta Mathematica
1 Operations Research
1 Proceedings of the American Mathematical Society
1 Quaestiones Mathematicae
1 Rivista di Matematica della Università di Parma. Serie IV
1 SIAM Journal on Computing
1 Studia Scientiarum Mathematicarum Hungarica
1 Southeast Asian Bulletin of Mathematics
1 Journal of Algorithms
1 Mathematical and Computer Modelling
1 SIAM Journal on Discrete Mathematics
1 Journal of Combinatorial Optimization
1 Probability in the Engineering and Informational Sciences
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Scientia. Series A: Mathematical Sciences. New Series
1 Mathematics in Computer Science
1 Mathematical Medley

Publications by Year

Citations contained in zbMATH Open

176 Publications have been cited 3,847 times in 2,424 Documents Cited by Year
Fundamentals of domination in graphs. Zbl 0890.05002
Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J.
1998
Domination in graphs. Advanced topics. Zbl 0883.00011
520
1998
Dominating and reference sets in a graph. Zbl 0656.05057
Slater, Peter J.
135
1988
Paired-domination in graphs. Zbl 0997.05074
Haynes, Teresa W.; Slater, Peter J.
98
1998
Domination and location in acyclic graphs. Zbl 0643.90089
Slater, Peter J.
71
1987
Efficient dominating sets in graphs. Zbl 0664.05027
Bange, D. W.; Barkauskas, A. E.; Slater, P. J.
66
1988
Signed domination in graphs. Zbl 0842.05051
Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J.
63
1995
R-domination in graphs. Zbl 0349.05120
Slater, Peter J.
54
1976
Leaves of trees. Zbl 0316.05102
Slater, Peter J.
50
1975
Paired-domination and the paired-domatic number. Zbl 0904.05052
Haynes, Teresa W.; Slater, Peter J.
48
1995
Centers to centroids in graphs. Zbl 0425.05021
Slater, Peter J.
46
1978
Information dissemination in trees. Zbl 0468.68064
Slater, P. J.; Cockayne, E. J.; Hedetniemi, S. T.
45
1981
Locating dominating sets in series parallel networks. Zbl 0646.05065
Colbourn, C. J.; Slater, P. J.; Stewart, L. K.
43
1987
Fault-tolerant locating-dominating sets. Zbl 1001.05090
Slater, Peter J.
41
2002
Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058
Henning, Michael A.; Slater, Peter J.
39
1996
A linear algorithm for a core of a tree. Zbl 0454.68067
Morgan, Christine A.; Slater, Peter J.
35
1980
A note on well-covered graphs. Zbl 0801.68119
Chvátal, Václav; Slater, Peter J.
32
1993
Locating dominating sets and locating-dominating sets. Zbl 0846.05047
Slater, Peter J.
31
1995
Efficient edge domination problems in graphs. Zbl 0797.05076
Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D.
31
1993
Open neighborhood locating-dominating sets. Zbl 1196.05067
Seo, Suk J.; Slater, Peter J.
27
2010
Differentials in graphs. Zbl 1103.05087
Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
26
2006
Generalized domination and efficient domination in graphs. Zbl 0860.05044
Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J.
25
1996
Line graphs of triangleless graphs and iterated clique graphs. Zbl 0255.05121
Hedetniemi, S. T.; Slater, P. J.
24
1972
The complementary product of two graphs. Zbl 1155.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C.
22
2007
Fault-tolerant metric dimension of graphs. Zbl 1170.05306
Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R.
21
2008
On graphs containing a given graph as center. Zbl 0449.05056
Buckley, Fred; Miller, Zevi; Slater, Peter J.
21
1981
A classification of 4-connected graphs. Zbl 0298.05136
Slater, Peter J.
21
1974
Medians of arbitrary graphs. Zbl 0446.05029
Slater, Peter J.
20
1980
The algorithmic complexity of signed domination in graphs. Zbl 0835.68089
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
19
1995
Maximin facility location. Zbl 0327.05105
Slater, Peter J.
18
1976
Open neighborhood locating-dominating in trees. Zbl 1209.05053
Seo, Suk J.; Slater, Peter J.
18
2011
Liar’s domination in graphs. Zbl 1211.05123
Roden, Miranda L.; Slater, Peter J.
17
2009
Paired-domination in grid graphs. Zbl 0988.05067
Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J.
17
2001
A note on packing two trees into \(K_ n\). Zbl 0491.05050
Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
17
1981
The locating-chromatic number of a graph. Zbl 1009.05056
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
17
2002
On k-critical, n-connected graphs. Zbl 0375.05031
Maurer, Stephen; Slater, Peter J.
16
1978
Fractional domination and fractional packing in graphs. Zbl 0691.05043
Grinstead, D. L.; Slater, P. J.
16
1990
Liar’s domination. Zbl 1204.90061
Slater, Peter J.
16
2009
Disjoint dominating sets in graphs. Zbl 1171.05038
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J.
15
2008
Enclaveless sets and MK-systems. Zbl 0421.05053
Slater, Peter J.
15
1977
All parity realizable trees. Zbl 0845.05029
Amin, A. T.; Slater, P. J.
14
1996
Gossips and telegraphs. Zbl 0408.05051
Entringer, Roger C.; Slater, Peter J.
14
1979
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
Matchings and transversals in hypergraphs, domination and independence in trees. Zbl 0414.05036
Cockayne, E. J.; Hedetniemi, S. T.; Slater, P. J.
13
1979
Open packing in graphs. Zbl 0922.05040
Henning, Michael A.; Slater, Peter J.
13
1999
Counterexamples to Randic’s conjecture on distance degree sequences for trees. Zbl 0484.05031
Slater, Peter J.
13
1982
A Boolean algebraic analysis of fire protection. Zbl 0551.90052
Hulme, B. L.; Shiver, A. W.; Slater, P. J.
13
1984
Geodetic connectivity of graphs. Zbl 0344.05137
Entringer, Roger C.; Jackson, Douglas E.; Slater, Peter J.
13
1977
Packing a tree with a graph of the same size. Zbl 0574.05018
Slater, P. J.; Teo, S. K.; Yap, H. P.
13
1985
Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135
Amin, A. T.; Slater, P. J.
12
1992
All cycles are edge-magic. Zbl 0892.05042
Godbold, Richard D.; Slater, Peter J.
12
1998
On locating a facility to service areas within a network. Zbl 0455.90028
Slater, Peter J.
12
1981
On location-domination numbers for certain classes of graphs. Zbl 0568.05033
Rall, Douglas F.; Slater, Peter J.
12
1984
Few compare to the great Roman Empire. Zbl 1293.05263
Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt
12
2013
On k-sequential and other numbered graphs. Zbl 0461.05053
Slater, Peter J.
11
1981
Complexity results for closed neighborhood order parameters. Zbl 0895.05060
Smart, Chris B.; Slater, Peter J.
11
1995
Parity dimension for graphs. Zbl 0957.05058
Amin, Ashok T.; Clark, Lane H.; Slater, Peter J.
11
1998
Advances on the Hamiltonian completion problem. Zbl 0307.05123
Goodman, S. E.; Hedetniemi, S. T.; Slater, P. J.
11
1975
An optimal diagonal tree code. Zbl 0512.05023
Chaiken, S.; Dewdney, A. K.; Slater, P. J.
11
1983
Strong equality of domination parameters in trees. Zbl 1020.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
11
2003
On the maximum number of cycles in a graph. Zbl 0469.05043
Entringer, R. C.; Slater, P. J.
10
1981
Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
10
2003
Center, median, and centroid subgraphs. Zbl 0946.05038
Smart, Christian; Slater, Peter J.
10
1999
On k-minimally n-edge-connected graphs. Zbl 0397.05033
Maurer, Stephen B.; Slater, Peter J.
9
1978
Roman dominating influence parameters. Zbl 1127.05075
Rubalcaba, Robert R.; Slater, Peter J.
9
2007
On iterated clique graphs with increasing diameters. Zbl 0596.05036
Peyrat, C.; Rall, D. F.; Slater, P. J.
8
1986
The acquisition number of a graph. Zbl 0904.05053
Lampert, D. E.; Slater, P. J.
8
1995
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James
8
2014
A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099
Grinstead, Dana L.; Slater, Peter J.
8
1994
Centrality of paths and vertices in a graph: cores and pits. Zbl 0469.05058
Slater, P. J.
6
1981
Parallel knockouts in the complete graph. Zbl 0974.05079
Lampert, Douglas E.; Slater, Peter J.
6
1998
Pair-connected reliability of a tree and its distance degree sequences. Zbl 0653.05025
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
6
1987
Exact formulas for reliability measures for various classes of graphs. Zbl 0667.05050
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
6
1987
On the optional Hamiltonian completion problem. Zbl 0323.05121
Slater, P. J.; Goodman, S. E.; Hedetniemi, S. T.
6
1976
Some results on acquisition numbers. Zbl 1163.05031
Slater, Peter J.
6
2008
An introduction to distance \(D\) magic graphs. Zbl 1288.05227
O’Neal, Allen; Slater, Peter J.
6
2011
A note on k-critically n-connected graphs. Zbl 0341.05120
Entringer, R. C.; Slater, Peter J.
6
1977
Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095
Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui
6
2002
Graph competition independence and enclaveless parameters. Zbl 1021.05078
Phillips, James B.; Slater, Peter J.
6
2002
Uniqueness of vertex magic constants. Zbl 1272.05174
O’Neal, Allen; Slater, Peter J.
6
2013
The k-nucleus of a graph. Zbl 0459.94035
Slater, Peter J.
5
1981
The competitive-acquisition numbers of paths. Zbl 1108.91017
Slater, Peter J.; Wang, Yan
5
2004
Multi-fractional domination. Zbl 0995.05114
Slater, Peter J.; Trees, Eric L.
5
2002
Path coverings of the vertices of a tree. Zbl 0391.05020
Slater, Peter J.
5
1979
Simply sequential and graceful graphs. Zbl 0427.05056
Bange, D. W.; Barkauskas, A. E.; Slater, Peter J.
5
1979
The connected hub number and the connected domination number. Zbl 1233.05126
Johnson, Peter; Slater, Peter; Walsh, Matt
5
2011
Sequentially additive graphs. Zbl 0508.05057
Bange, D. W.; Barkauskas, A. E.; Slater, P. J.
5
1983
On k-graceful graphs. Zbl 0519.05057
Slater, Peter J.
5
1982
On minimum dominating sets with minimum intersection. Zbl 0745.05057
Grinstead, Dana L.; Slater, Peter J.
5
1990
Permutations of the positive integers with restrictions on the sequence of differences. Zbl 0333.05002
Slater, Peter J.; Vélez, William Yslas
5
1977
Efficient open domination in graphs. Zbl 1110.05077
Gavlas, Heather; Schultz, Kelly; Slater, Peter
5
2003
Centroidal bases in graphs. Zbl 1386.05046
Foucaud, Florent; Klasing, Ralf; Slater, Peter J.
5
2014
A linear algorithm for the cutting center of a tree. Zbl 0624.68058
Harary, Frank; Slater, Peter J.
5
1986
Accretion centers: A generalization of branch weight centroids. Zbl 0467.05045
Slater, Peter J.
4
1981
The expected number of pairs of connected nodes: Pair-connected reliability. Zbl 0800.68631
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1993
Liars’ domination and the domination continuum. Zbl 1181.05073
Roden, Miranda L.; Slater, Peter J.
4
2008
Permutations of the positive integers with restrictions on the sequence of differences. II. Zbl 0386.10009
Slater, Peter J.; Vélez, William Yslas
4
1979
A characterization of soft hypergraphs. Zbl 0391.05042
Slater, Peter J.
4
1978
Conservative graphs. Zbl 0401.05066
Bange, David W.; Barkauskas, Anthony E.; Slater, Peter J.
4
1980
Generating all permutations by graphical transpositions. Zbl 0405.05001
Slater, Peter J.
4
1978
Independent locating-dominating sets and identifying codes in graphs. Zbl 1390.05178
Slater, Peter J.; Sewell, J. Louis
3
2018
Generalized set dominating and separating systems. Zbl 1390.05176
Seo, Suk J.; Slater, Peter J.
1
2018
Open-independent, open-locating-dominating sets. Zbl 1470.05130
Seo, Suk J.; Slater, Peter J.
2
2017
On the efficiency index of a graph. Zbl 1344.90060
Barbosa, Rommel; Slater, Peter
2
2016
Embedding an arbitrary tree in a graceful tree. Zbl 1339.05263
Sethuraman, G.; Ragukumar, P.; Slater, Peter J.
1
2016
Fault tolerant detectors for distinguishing sets in graphs. Zbl 1327.05266
Seo, Suk J.; Slater, Peter J.
2
2015
On open neighborhood locating-dominating in graphs. Zbl 1306.05178
Chellali, Mustapha; Jafari Rad, Nader; Seo, Suk Jai; Slater, Peter James
8
2014
Centroidal bases in graphs. Zbl 1386.05046
Foucaud, Florent; Klasing, Ralf; Slater, Peter J.
5
2014
A sharp lower bound for locating-dominating sets in trees. Zbl 1305.05180
Sewell, J. Louis; Slater, Peter J.
4
2014
OLD trees with maximum degree three. Zbl 1300.05234
Seo, Suk J.; Slater, Peter J.
3
2014
Few compare to the great Roman Empire. Zbl 1293.05263
Hedetniemi, Stephen T.; Rubalcaba, Robert R.; Slater, Peter J.; Walsh, Matt
12
2013
Uniqueness of vertex magic constants. Zbl 1272.05174
O’Neal, Allen; Slater, Peter J.
6
2013
Open locating-dominating interpolation for trees. Zbl 1293.05273
Seo, Suk J.; Slater, Peter J.
3
2013
Some new results on set-graceful and set-sequential graphs. Zbl 1301.05156
Acharya, B. D.; Germina, K. A.; Abhishek, Kumar; Slater, P. J.
4
2012
Open neighborhood locating-domination for grid-like graphs. Zbl 1278.05177
Seo, Suk J.; Slater, Peter J.
4
2012
Graphical parameters for classes of tumbling block graphs. Zbl 1278.05178
Seo, Suk J.; Slater, Peter J.
3
2012
Liar’s domination in ladders. Zbl 1278.05180
Sterling, Christopher; Haynes, Teresa W.; Slater, Peter J.
2
2012
On efficient dominating sets in simplicial graphs. Zbl 1252.05159
Barbosa, Rommel; Slater, Peter
1
2012
Open neighborhood locating-dominating in trees. Zbl 1209.05053
Seo, Suk J.; Slater, Peter J.
18
2011
An introduction to distance \(D\) magic graphs. Zbl 1288.05227
O’Neal, Allen; Slater, Peter J.
6
2011
The connected hub number and the connected domination number. Zbl 1233.05126
Johnson, Peter; Slater, Peter; Walsh, Matt
5
2011
The graph distance game. Zbl 1238.05174
Goddard, Wayne; Sinko, Anne; Slater, Peter; Xu, Honghai
1
2011
The minimax, maximin, and spread values for open neighborhood sums for 2-regular graphs. Zbl 1247.05211
O’Neal, Allen; Slater, Peter J.
1
2011
How provably graceful are the trees? Zbl 1288.05233
Slater, Peter J.
1
2011
An introduction to closed/open neighborhood sums: minimax, maximin, and spread. Zbl 1254.05176
O’Neal, Allen; Slater, Peter J.
1
2011
Open neighborhood locating-dominating sets. Zbl 1196.05067
Seo, Suk J.; Slater, Peter J.
27
2010
On locating-domination in graphs. Zbl 1214.05104
Chellali, Mustapha; Mimouni, Malika; Slater, Peter J.
2
2010
Liar’s domination in graphs. Zbl 1211.05123
Roden, Miranda L.; Slater, Peter J.
17
2009
Liar’s domination. Zbl 1204.90061
Slater, Peter J.
16
2009
Minimax open and closed neighborhood sums. Zbl 1210.05153
Schneider, Andrew; Slater, Peter J.
2
2009
Set-sized \((1,3)\)-domination for trees. Zbl 1211.05124
Roden-Bowie, Miranda L.; Slater, Peter J.
1
2009
Fault-tolerant metric dimension of graphs. Zbl 1170.05306
Hernando, Carmen; Mora, Merce; Slater, Peter J.; Wood, David R.
21
2008
Disjoint dominating sets in graphs. Zbl 1171.05038
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Laskar, Renu C.; Markus, Lisa; Slater, Peter J.
15
2008
Some results on acquisition numbers. Zbl 1163.05031
Slater, Peter J.
6
2008
Liars’ domination and the domination continuum. Zbl 1181.05073
Roden, Miranda L.; Slater, Peter J.
4
2008
Irredundant colorings of graphs. Zbl 1181.05041
Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; McRae, Alice A.; Slater, Peter J.
2
2008
Queen’s domination using border squares and \((A,B)\)-restricted domination. Zbl 1159.05042
Sinko, Anne; Slater, Peter J.
2
2008
The complementary product of two graphs. Zbl 1155.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C.
22
2007
Roman dominating influence parameters. Zbl 1127.05075
Rubalcaba, Robert R.; Slater, Peter J.
9
2007
Competition parameters of a graph. Zbl 1135.05055
Seo, Suk J.; Slater, Peter J.
4
2007
Efficient \((j,k)\)-domination. Zbl 1142.05062
Rubalcaba, Robert R.; Slater, Peter J.
4
2007
A note on obtaining \(k\) dominating sets from a \(k\)-dominating function on a tree. Zbl 1139.05046
Rubalcaba, Robert R.; Slater, Peter J.
2
2007
Minimax neighborhood sums. Zbl 1141.05072
Schneider, Andrew; Slater, Peter J.
2
2007
Differentials in graphs. Zbl 1103.05087
Mashburn, J. L.; Haynes, T. W.; Hedetniemi, S. M.; Hedetniemi, S. T.; Slater, P. J.
26
2006
A survey on graphs which have equal domination and closed neighbourhood packing numbers. Zbl 1121.05088
Rubalcaba, Robert R.; Schneider, Andrew; Slater, Peter J.
4
2006
Efficient domination in knights graphs. Zbl 1120.05066
Sinko, Anne; Slater, Peter J.
2
2006
Trees with equal domination and paired-domination numbers. Zbl 1164.05420
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
4
2005
An introduction to influence parameters for chessboard graphs. Zbl 1123.05069
Sinko, Anne; Slater, Peter J.
2
2005
The competitive-acquisition numbers of paths. Zbl 1108.91017
Slater, Peter J.; Wang, Yan
5
2004
Distance and connectivity measures in permutation graphs. Zbl 1022.05024
Goddard, Wayne; Raines, Michael E.; Slater, Peter J.
14
2003
Strong equality of domination parameters in trees. Zbl 1020.05051
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
11
2003
Graphs of order \(n\) with locating-chromatic number \(n-1\). Zbl 1020.05026
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
10
2003
Efficient open domination in graphs. Zbl 1110.05077
Gavlas, Heather; Schultz, Kelly; Slater, Peter
5
2003
\(H\)-forming sets in graphs. Zbl 1017.05082
Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A.; Slater, Peter J.
4
2003
Distance-location numbers of graphs. Zbl 1035.05035
Chartrand, Gary; Erwin, David; Slater, Peter J.; Zhang, Ping
1
2003
Fault-tolerant locating-dominating sets. Zbl 1001.05090
Slater, Peter J.
41
2002
The locating-chromatic number of a graph. Zbl 1009.05056
Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping
17
2002
Parity dimension for graphs—a linear algebraic approach. Zbl 1023.05095
Amin, Ashok T.; Slater, Peter J.; Zhang, Guo-Hui
6
2002
Graph competition independence and enclaveless parameters. Zbl 1021.05078
Phillips, James B.; Slater, Peter J.
6
2002
Multi-fractional domination. Zbl 0995.05114
Slater, Peter J.; Trees, Eric L.
5
2002
Paired-domination in grid graphs. Zbl 0988.05067
Proffitt, Kenneth E.; Haynes, Teresa W.; Slater, Peter J.
17
2001
Average distance in colored graphs. Zbl 0991.05038
Dankelmann, Peter; Goddard, Wayne; Slater, Peter
4
2001
Strong equality of upper domination and independence in trees. Zbl 0980.05038
Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.
2
2001
Bounds on the total redundance and efficiency of a graph. Zbl 0993.05103
Goddard, Wayne; Oellermann, Ortrud R.; Slater, Peter J.; Swart, Henda C.
3
2000
Distance-\(k\) independent domination sequences. Zbl 0959.05087
Favaron, Odile; Haynes, Teresa W.; Slater, Peter J.
2
2000
A generalization of domination critical graphs. Zbl 0964.05048
Phillips, James B.; Haynes, Teresa W.; Slater, Peter J.
2
2000
Open packing in graphs. Zbl 0922.05040
Henning, Michael A.; Slater, Peter J.
13
1999
Center, median, and centroid subgraphs. Zbl 0946.05038
Smart, Christian; Slater, Peter J.
10
1999
The Hedetniemi number of a graph. Zbl 0960.05077
Slater, Peter J.
2
1999
A survey of sequences of central subgraphs. Zbl 0968.05029
Slater, Peter J.
2
1999
Fundamentals of domination in graphs. Zbl 0890.05002
Haynes, Teresa W.; Hedetniemi, Stephen T.; Slater, Peter J.
1998
Domination in graphs. Advanced topics. Zbl 0883.00011
520
1998
Paired-domination in graphs. Zbl 0997.05074
Haynes, Teresa W.; Slater, Peter J.
98
1998
All cycles are edge-magic. Zbl 0892.05042
Godbold, Richard D.; Slater, Peter J.
12
1998
Parity dimension for graphs. Zbl 0957.05058
Amin, Ashok T.; Clark, Lane H.; Slater, Peter J.
11
1998
Parallel knockouts in the complete graph. Zbl 0974.05079
Lampert, Douglas E.; Slater, Peter J.
6
1998
LP-duality, complementarity, and generality of graphical subset parameters. Zbl 0891.05046
Slater, Peter J.
3
1998
Efficient and excess domination in graphs. Zbl 0903.05032
Harary, Frank; Haynes, Teresa W.; Slater, Peter J.
1
1998
Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058
Henning, Michael A.; Slater, Peter J.
39
1996
Generalized domination and efficient domination in graphs. Zbl 0860.05044
Bange, D. W.; Barkauskas, A. E.; Host, L. H.; Slater, P. J.
25
1996
All parity realizable trees. Zbl 0845.05029
Amin, A. T.; Slater, P. J.
14
1996
Interior parameters in \(\text{ir}\leq \gamma \leq i\leq \dots \leq \beta \leq \Gamma\leq\)IR. Zbl 0896.05036
Lampert, D. E.; Slater, P. J.
1
1996
Signed domination in graphs. Zbl 0842.05051
Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J.
63
1995
Paired-domination and the paired-domatic number. Zbl 0904.05052
Haynes, Teresa W.; Slater, Peter J.
48
1995
Locating dominating sets and locating-dominating sets. Zbl 0846.05047
Slater, Peter J.
31
1995
The algorithmic complexity of signed domination in graphs. Zbl 0835.68089
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
19
1995
Complexity results for closed neighborhood order parameters. Zbl 0895.05060
Smart, Chris B.; Slater, Peter J.
11
1995
The acquisition number of a graph. Zbl 0904.05053
Lampert, D. E.; Slater, P. J.
8
1995
On the additive bandwidth of graphs. Zbl 0833.05066
Bascuñán, M. E.; Ruiz, S.; Brigham, R. C.; Caron, R. M.; Slater, P. J.; Vitray, R. P.
1
1995
A recurrence template for several parameters in series-parallel graphs. Zbl 0812.68099
Grinstead, Dana L.; Slater, Peter J.
8
1994
Three-valued \(k\)-neighborhood domination in graphs. Zbl 0819.05023
Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J.
2
1994
A note on well-covered graphs. Zbl 0801.68119
Chvátal, Václav; Slater, Peter J.
32
1993
Efficient edge domination problems in graphs. Zbl 0797.05076
Grinstead, Dana L.; Slater, Peter J.; Sherwani, Naveed A.; Holmes, Nancy D.
31
1993
The expected number of pairs of connected nodes: Pair-connected reliability. Zbl 0800.68631
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
4
1993
The optimal unicyclic graphs for pair-connected reliability. Zbl 0773.05093
Siegrist, Kyle T.; Amin, Ashok T.; Slater, Peter J.
3
1993
On uniformly optimally reliable graphs for pair-connected reliability with vertex failures. Zbl 0780.90044
Amin, A. T.; Siegrist, K. T.; Slater, P. J.
1
1993
Maximum matching among minimum dominating sets. Zbl 0841.05051
Slater, Peter J.
1
1993
Maximum independent, minimally redundant sets in series-parallel graphs. Zbl 0794.05124
Johnson, T. W.; Slater, P. J.
1
1993
Neighborhood domination with parity restrictions in graphs. Zbl 0798.68135
Amin, A. T.; Slater, P. J.
12
1992
The additive bandwidth of grids and complete bipartite graphs. Zbl 0790.05072
Bascuñán, M. E.; Ruiz, S.; Slater, P. J.
1
1992
...and 76 more Documents
all top 5

Cited by 2,564 Authors

190 Henning, Michael Anthony
88 Volkmann, Lutz
62 Jafari Rad, Nader
60 Haynes, Teresa W.
56 Sheikholeslami, Seyed Mahmoud
44 Slater, Peter James
43 Shan, Erfang
41 Hedetniemi, Stephen Travis
41 Rautenbach, Dieter
38 Kang, Liying
35 Chellali, Mustapha
35 Rodríguez-Velazquez, Juan Alberto
34 Yero, Ismael Gonzalez
27 Mojdeh, Doost Ali
26 Mynhardt, Christina Magdalena
25 Yeo, Anders
24 Klavžar, Sandi
21 Chang, Gerard Jennhwa
21 Goddard, Wayne Dean
20 Panda, Bhawani Sankar
18 Lemańska, Magdalena
18 Milanič, Martin
18 Shao, Zehui
17 Cabrera Martínez, Abel
17 Kratsch, Dieter
17 Laihonen, Tero K.
16 Hattingh, Johannes H.
16 Mora, Mercè
15 Amjadi, Jafar
15 Chen, Xuegang
15 Desormeaux, Wyatt J.
15 Favaron, Odile
15 Fernau, Henning
15 Foucaud, Florent
15 Hernando, Carmen
15 Krzywkowski, Marcin
15 Xu, Junming
14 Alikhani, Saeid
14 Brandstädt, Andreas
14 Brešar, Boštjan
14 Kuziak, Dorota
14 Löwenstein, Christian
14 Lu, Changhong
14 Raczek, Joanna
14 Venkatakrishnan, Yanamandram Balasubramanian
13 Ahangar, Hossein Abdollahzadeh
13 Cockayne, Ernest J.
13 Hao, Guoliang
13 Klostermeyer, William F.
13 Sohn, Moo Young
12 Arumugam, Subramanian
12 Balbuena, Camino
12 Chartrand, Gary Theodore
12 Dettlaff, Magda
12 Estrada-Moreno, Alejandro
12 Furuya, Michitaka
12 Honkala, Iiro S.
12 Junnila, Ville
12 McRae, Alice A.
12 Oellermann, Ortrud R.
12 Puerto Albandoz, Justo
12 Rall, Douglas F.
11 Bermudo, Sergio
11 Bujtás, Csilla
11 Dankelmann, Peter
11 Galeana-Sánchez, Hortensia
11 Golovach, Petr A.
11 Imran, Muhammad
11 Lobstein, Antoine-Christophe
11 Parreau, Aline
11 Pelayo, Ignacio M.
11 Peterin, Iztok
11 Scozzari, Andrea
11 Southey, Justin
11 Tamizh Chelvam, Thirugnanam
10 Cardoso, Domingos Moreira
10 Gupta, Purnima
10 Hansberg, Adriana
10 Hedetniemi, Sandra Lee Mitchell
10 Hudry, Olivier
10 Pandey, Arti
10 Samadi, Babak
10 Tankus, David
10 Zhao, Yancai
9 Blidia, Mostafa
9 Cáceres, José
9 Chaluvaraju, B.
9 Cheng, Tai-Chiu Edwin
9 Dehgardi, Nasrin
9 Dorbec, Paul
9 Heggernes, Pinar
9 Levit, Vadim E.
9 Li, Zepeng
9 Liedloff, Mathieu
9 Paul, Subhabrata
9 Pushpam, P. Roushini Leely
9 Szwarcfiter, Jayme Luiz
9 Tamir, Arie
9 Tuza, Zsolt
9 Yi, Eunjeong
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Cited in 231 Serials

385 Discrete Applied Mathematics
327 Discrete Mathematics
102 Theoretical Computer Science
102 Graphs and Combinatorics
94 Discrete Mathematics, Algorithms and Applications
82 Discussiones Mathematicae. Graph Theory
81 Journal of Combinatorial Optimization
69 Information Processing Letters
36 Journal of Discrete Mathematical Sciences & Cryptography
33 AKCE International Journal of Graphs and Combinatorics
30 Journal of Graph Theory
30 Advances and Applications in Discrete Mathematics
28 Networks
27 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
26 Applied Mathematics and Computation
26 Communications in Combinatorics and Optimization
25 European Journal of Combinatorics
24 The Electronic Journal of Combinatorics
23 Czechoslovak Mathematical Journal
22 Algorithmica
21 Electronic Journal of Graph Theory and Applications
20 Quaestiones Mathematicae
19 European Journal of Operational Research
18 Journal of Combinatorial Theory. Series B
15 Applied Mathematics Letters
15 International Journal of Computer Mathematics
14 Asian-European Journal of Mathematics
13 The Australasian Journal of Combinatorics
12 Acta Mathematica Sinica. English Series
12 Journal of Discrete Algorithms
12 Discrete Optimization
10 Opuscula Mathematica
10 South East Asian Journal of Mathematics and Mathematical Sciences
10 Proyecciones
10 Ars Mathematica Contemporanea
10 Transactions on Combinatorics
10 Journal of Mathematics
9 Computers & Mathematics with Applications
9 Operations Research Letters
9 Computers & Operations Research
9 Filomat
9 Central European Journal of Mathematics
8 Annals of Operations Research
8 Linear Algebra and its Applications
8 Journal of Shanghai University
8 AIMS Mathematics
7 Information Sciences
7 Journal of Computer and System Sciences
7 Mathematica Slovaca
7 SIAM Journal on Algebraic and Discrete Methods
7 SIAM Journal on Discrete Mathematics
7 Aequationes Mathematicae
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Journal of Applied Mathematics and Computing
7 International Journal of Combinatorics
6 Lobachevskii Journal of Mathematics
6 RAIRO. Operations Research
6 Mathematics in Computer Science
6 ISRN Discrete Mathematics
5 Results in Mathematics
5 Advances in Applied Mathematics
5 Acta Mathematicae Applicatae Sinica. English Series
5 International Journal of Foundations of Computer Science
5 Designs, Codes and Cryptography
4 Indian Journal of Pure & Applied Mathematics
4 International Journal of Mathematics and Mathematical Sciences
4 Top
4 Theory of Computing Systems
4 Mathematical Methods of Operations Research
4 Discrete Dynamics in Nature and Society
4 Optimization Letters
4 Applicable Analysis and Discrete Mathematics
4 Symmetry
4 ISRN Combinatorics
4 Open Mathematics
3 Communications in Algebra
3 Journal of the Franklin Institute
3 Periodica Mathematica Hungarica
3 Journal of Combinatorial Theory. Series A
3 Kyungpook Mathematical Journal
3 Statistics & Probability Letters
3 Combinatorica
3 Information and Computation
3 Facta Universitatis. Series Mathematics and Informatics
3 Mathematical and Computer Modelling
3 Journal of Mathematical Chemistry
3 Annals of Combinatorics
3 Discrete Mathematics and Theoretical Computer Science. DMTCS
3 Communications de la Faculté des Sciences de l’Université d’Ankara. Séries A1. Mathematics and Statistics
3 Communications of the Korean Mathematical Society
3 Kragujevac Journal of Mathematics
3 Iranian Journal of Science and Technology. Transaction A: Science
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Thai Journal of Mathematics
3 Mediterranean Journal of Mathematics
3 Involve
3 RAIRO. Theoretical Informatics and Applications
3 Palestine Journal of Mathematics
3 Ural Mathematical Journal
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