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Author ID: broere.izak Recent zbMATH articles by "Broere, Izak"
Published as: Broere, Izak; Broere, I.
Documents Indexed: 71 Publications since 1968, including 1 Additional arXiv Preprint
Co-Authors: 45 Co-Authors with 65 Joint Publications
943 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

42 Publications have been cited 231 times in 178 Documents Cited by Year
A survey of hereditary properties of graphs. Zbl 0902.05026
Borowiecki, Mieczysław; Broere, Izak; Frick, Marietjie; Mihók, Peter; Semanišin, Gabriel
46
1997
Generalized colorings of outerplanar and planar graphs. Zbl 0571.05017
Broere, I.; Mynhardt, C. M.
24
1985
Majority domination in graphs. Zbl 0820.05037
Broere, Izak; Hattingh, Johannes H.; Henning, Michael A.; McRae, Alice A.
23
1995
The clique numbers and chromatic numbers of certain Paley graphs. Zbl 0634.05030
Broere, I.; Döman, D.; Ridley, J. N.
14
1988
Products of circulant graphs. Zbl 0744.05058
Broere, Izak; Hattingh, Johannes H.
11
1990
A path(ological) partition problem. Zbl 0912.05048
Broere, Izak; Dunbar, Jean E.; Frick, Marietjie
9
1998
The distinguishing index of infinite graphs. Zbl 1310.05147
Broere, Izak; Pilśniak, Monika
9
2015
Partition problems and kernels of graphs. Zbl 0906.05059
Broere, Izak; Hajnal, Péter; Mihók, Peter
8
1997
Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061
Broere, Izak; Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.; Ungerer, Elna
8
2004
Graph congruences and what they connote. Zbl 1403.05059
Broere, Izak; Heidema, Johannes; Pretorius, Lou
6
2018
Minus \(k\)-subdomination in graphs. Zbl 0963.05099
Broere, Izak; Dunbar, Jean E.; Hattingh, Johannes H.
5
1998
Congruences and Hoehnke radicals on graphs. Zbl 1446.05043
Broere, Izak; Heidema, Johannes; Veldsman, Stefan
5
2020
Queens graphs. Zbl 0935.05064
Beineke, Lowell W.; Broere, Izak; Henning, Michael A.
4
1999
A characterization of the sequence of generalized chromatic numbers of a graph. Zbl 0841.05031
Broere, Izak; Frick, Marietjie
4
1991
The induced path number of the complements of some graphs. Zbl 1078.05046
Broere, Izak; Jonck, Elizabeth; Domke, Gayla S.; Markus, Lisa R.
4
2005
A construction of uniquely \(C_ 4\)-free colourable graphs. Zbl 0725.05042
Benadé, Gerhard; Broere, Izak; Brown, Jason I.
4
1990
The distinguishing index of the Cartesian product of countable graphs. Zbl 1386.05084
Broere, Izak; Pilśniak, Monika
4
2017
Critically cochromatic graphs. Zbl 0677.05030
Broere, Izak; Burger, Marieta
3
1989
The decomposability of additive hereditary properties of graphs. Zbl 0982.05082
Broere, Izak; Dorfling, Michael J.
3
2000
Note on t-minimal complete bipartite graphs. Zbl 0182.57904
Bouwer, I. Z.; Broere, I.
3
1968
On the order of uniquely (k,m)-colourable graphs. Zbl 0712.05024
Broere, Izak; Frick, Marietjie
3
1990
Meet- and join-irreducibility of additive hereditary properties of graphs. Zbl 1003.05101
Berger, Amelie J.; Broere, Izak; Moagi, Samuel J. T.; Mihók, Peter
3
2002
On the order of color critical graphs. Zbl 0641.05029
Broere, Izak; Frick, Marietjie
2
1985
Constructing an abundance of Rado graphs. Zbl 1228.05220
Broere, Izak; Heidema, Johannes
2
2011
On generalized list colourings of graphs. Zbl 0903.05022
Borowiecki, Mieczysław; Broere, Izak; Mihók, Peter
2
1997
Divisibility in additive hereditary graph properties and uniquely partitionable graphs. Zbl 0951.05034
Broere, Izak; Bucko, Jozef
2
1999
Minimal reducible bounds for planar graphs. Zbl 0945.05022
Borowiecki, Mieczysław; Broere, Izak; Mihók, Peter
2
2000
On the edge independence number of a regular graph with large edge connectivity. Zbl 0745.05023
Broere, Izak; Chartrand, Gary; Oellermann, Ortrud R.; Wall, Curtiss E.
2
1989
Uniquely \((m,k)^ \tau\)-colourable graphs and \(k-\tau\)-saturated graphs. Zbl 0870.05026
Benadé, Gerhard; Broere, Izak; Jonck, Betsie; Frick, Marietjie
2
1996
Hamiltonicity and generalised total colourings of planar graphs. Zbl 1338.05076
Borowiecki, Mieczysław; Broere, Izak
2
2016
Minimal reducible bounds for hom-properties of graphs. Zbl 0958.05051
Berger, Amelie; Broere, Izak
1
1999
The order of uniquely partitionable graphs. Zbl 0906.05058
Broere, Izak; Frick, Marietjie; Mihók, Peter
1
1997
The induced path number of a complete multipartite graph. Zbl 0847.05078
Broere, Izak; Jonck, Elizabeth; Voigt, Margit
1
1996
Generalized chromatic numbers and additive hereditary properties of graphs. Zbl 1030.05038
Broere, Izak; Dorfling, Samantha; Jonck, Elizabeth
1
2002
The induced path number of the Cartesian product of some graphs. Zbl 1110.05053
Broere, Izak; Jonck, Elizabeth; Domke, Gayla S.
1
2006
Generalized colorings of graphs. Zbl 0572.05028
Mynhardt, Christina M.; Broere, Izak
1
1985
Two results on generalized chromatic numbers. Zbl 0707.05026
Broere, Izak; Frick, Marietjie
1
1990
Chromatic polynomials of graphs in terms of chromatic polynomials of trees. Zbl 0806.05033
Adam, A. A.; Broere, I.
1
1993
The quest for a characterization of hom-properties of finite character. Zbl 1338.05189
Broere, Izak; Matsoha, Moroli D. V.; Heidema, Johannes
1
2016
Applications of Hajós-type constructions to the Hedetniemi conjecture. Zbl 1365.05084
Broere, Izak; Matsoha, Moroli D. V.
1
2017
Criteria for of the existence of uniquely partitionable graphs with respect to additive induced-hereditary properties. Zbl 1013.05066
Broere, Izak; Bucko, Jozef; Mihók, Peter
1
2002
Constructing universal graphs for induced-hereditary graph properties. Zbl 1324.05135
Broere, Izak; Heidema, Johannes; Mihók, Peter
1
2013
Congruences and Hoehnke radicals on graphs. Zbl 1446.05043
Broere, Izak; Heidema, Johannes; Veldsman, Stefan
5
2020
Graph congruences and what they connote. Zbl 1403.05059
Broere, Izak; Heidema, Johannes; Pretorius, Lou
6
2018
The distinguishing index of the Cartesian product of countable graphs. Zbl 1386.05084
Broere, Izak; Pilśniak, Monika
4
2017
Applications of Hajós-type constructions to the Hedetniemi conjecture. Zbl 1365.05084
Broere, Izak; Matsoha, Moroli D. V.
1
2017
Hamiltonicity and generalised total colourings of planar graphs. Zbl 1338.05076
Borowiecki, Mieczysław; Broere, Izak
2
2016
The quest for a characterization of hom-properties of finite character. Zbl 1338.05189
Broere, Izak; Matsoha, Moroli D. V.; Heidema, Johannes
1
2016
The distinguishing index of infinite graphs. Zbl 1310.05147
Broere, Izak; Pilśniak, Monika
9
2015
Constructing universal graphs for induced-hereditary graph properties. Zbl 1324.05135
Broere, Izak; Heidema, Johannes; Mihók, Peter
1
2013
Constructing an abundance of Rado graphs. Zbl 1228.05220
Broere, Izak; Heidema, Johannes
2
2011
The induced path number of the Cartesian product of some graphs. Zbl 1110.05053
Broere, Izak; Jonck, Elizabeth; Domke, Gayla S.
1
2006
The induced path number of the complements of some graphs. Zbl 1078.05046
Broere, Izak; Jonck, Elizabeth; Domke, Gayla S.; Markus, Lisa R.
4
2005
Augmenting trees to have two disjoint total dominating sets. Zbl 1057.05061
Broere, Izak; Dorfling, Michael; Goddard, Wayne; Hattingh, Johannes H.; Henning, Michael A.; Ungerer, Elna
8
2004
Meet- and join-irreducibility of additive hereditary properties of graphs. Zbl 1003.05101
Berger, Amelie J.; Broere, Izak; Moagi, Samuel J. T.; Mihók, Peter
3
2002
Generalized chromatic numbers and additive hereditary properties of graphs. Zbl 1030.05038
Broere, Izak; Dorfling, Samantha; Jonck, Elizabeth
1
2002
Criteria for of the existence of uniquely partitionable graphs with respect to additive induced-hereditary properties. Zbl 1013.05066
Broere, Izak; Bucko, Jozef; Mihók, Peter
1
2002
The decomposability of additive hereditary properties of graphs. Zbl 0982.05082
Broere, Izak; Dorfling, Michael J.
3
2000
Minimal reducible bounds for planar graphs. Zbl 0945.05022
Borowiecki, Mieczysław; Broere, Izak; Mihók, Peter
2
2000
Queens graphs. Zbl 0935.05064
Beineke, Lowell W.; Broere, Izak; Henning, Michael A.
4
1999
Divisibility in additive hereditary graph properties and uniquely partitionable graphs. Zbl 0951.05034
Broere, Izak; Bucko, Jozef
2
1999
Minimal reducible bounds for hom-properties of graphs. Zbl 0958.05051
Berger, Amelie; Broere, Izak
1
1999
A path(ological) partition problem. Zbl 0912.05048
Broere, Izak; Dunbar, Jean E.; Frick, Marietjie
9
1998
Minus \(k\)-subdomination in graphs. Zbl 0963.05099
Broere, Izak; Dunbar, Jean E.; Hattingh, Johannes H.
5
1998
A survey of hereditary properties of graphs. Zbl 0902.05026
Borowiecki, Mieczysław; Broere, Izak; Frick, Marietjie; Mihók, Peter; Semanišin, Gabriel
46
1997
Partition problems and kernels of graphs. Zbl 0906.05059
Broere, Izak; Hajnal, Péter; Mihók, Peter
8
1997
On generalized list colourings of graphs. Zbl 0903.05022
Borowiecki, Mieczysław; Broere, Izak; Mihók, Peter
2
1997
The order of uniquely partitionable graphs. Zbl 0906.05058
Broere, Izak; Frick, Marietjie; Mihók, Peter
1
1997
Uniquely \((m,k)^ \tau\)-colourable graphs and \(k-\tau\)-saturated graphs. Zbl 0870.05026
Benadé, Gerhard; Broere, Izak; Jonck, Betsie; Frick, Marietjie
2
1996
The induced path number of a complete multipartite graph. Zbl 0847.05078
Broere, Izak; Jonck, Elizabeth; Voigt, Margit
1
1996
Majority domination in graphs. Zbl 0820.05037
Broere, Izak; Hattingh, Johannes H.; Henning, Michael A.; McRae, Alice A.
23
1995
Chromatic polynomials of graphs in terms of chromatic polynomials of trees. Zbl 0806.05033
Adam, A. A.; Broere, I.
1
1993
A characterization of the sequence of generalized chromatic numbers of a graph. Zbl 0841.05031
Broere, Izak; Frick, Marietjie
4
1991
Products of circulant graphs. Zbl 0744.05058
Broere, Izak; Hattingh, Johannes H.
11
1990
A construction of uniquely \(C_ 4\)-free colourable graphs. Zbl 0725.05042
Benadé, Gerhard; Broere, Izak; Brown, Jason I.
4
1990
On the order of uniquely (k,m)-colourable graphs. Zbl 0712.05024
Broere, Izak; Frick, Marietjie
3
1990
Two results on generalized chromatic numbers. Zbl 0707.05026
Broere, Izak; Frick, Marietjie
1
1990
Critically cochromatic graphs. Zbl 0677.05030
Broere, Izak; Burger, Marieta
3
1989
On the edge independence number of a regular graph with large edge connectivity. Zbl 0745.05023
Broere, Izak; Chartrand, Gary; Oellermann, Ortrud R.; Wall, Curtiss E.
2
1989
The clique numbers and chromatic numbers of certain Paley graphs. Zbl 0634.05030
Broere, I.; Döman, D.; Ridley, J. N.
14
1988
Generalized colorings of outerplanar and planar graphs. Zbl 0571.05017
Broere, I.; Mynhardt, C. M.
24
1985
On the order of color critical graphs. Zbl 0641.05029
Broere, Izak; Frick, Marietjie
2
1985
Generalized colorings of graphs. Zbl 0572.05028
Mynhardt, Christina M.; Broere, Izak
1
1985
Note on t-minimal complete bipartite graphs. Zbl 0182.57904
Bouwer, I. Z.; Broere, I.
3
1968
all top 5

Cited by 244 Authors

10 Mihók, Peter
10 Semanišin, Gabriel
9 Broere, Izak
8 Frick, Marietjie
7 Hattingh, Johannes H.
7 Yip, Chi Hoi
6 Borowiecki, Mieczysław
6 Veldsman, Stefan
5 Drgas-Burchardt, Ewa
5 Henning, Michael Anthony
5 Pilśniak, Monika
5 Sidorowicz, Elżbieta
4 Brown, Jason Ira
4 Dunbar, Jean E.
4 Imrich, Wilfried
4 Jha, Pranava K.
4 Kemnitz, Arnfried
4 Marangio, Massimiliano
4 Prabhavathy, S. Anandha
3 Bullock, Frank
3 Dorfling, Michael J.
3 Fiedorowicz, Anna
3 Gimbel, John G.
3 Glebov, Alekseĭ Nikolaevich
3 Goddard, Wayne Dean
3 Hedetniemi, Stephen Travis
3 Heidema, Johannes
3 Kalinowski, Rafał
3 Lehner, Florian
3 Saleh, Ossama A.
3 Shan, Erfang
3 Soták, Roman
3 Tuza, Zsolt
3 van der Merwe, Lucas C.
3 Voigt, Margit
3 Walters, Terry J.
3 Wang, Wei
3 West, Douglas Brent
2 Ait-Ferhat, Dehia
2 Asgarli, Shamil
2 Beineke, Lowell Wayne
2 Borowiecki, Piotr
2 Chang, Gerard Jennhwa
2 Corneil, Derek Gordon
2 Dorfling, Samantha
2 Giudici, Michael
2 Haynes, Teresa W.
2 Horňák, Mirko
2 Juliard, Vincent
2 Kang, Liying
2 Kisielewicz, Andrzej Piotr
2 Liu, Xianliang
2 Milanič, Martin
2 Molloy, Michael S. O.
2 Nešetřil, Jaroslav
2 Nielsen, Morten Hegner
2 Sahul Hamid, I.
2 Schweser, Thomas
2 Shekarriz, Mohammad Hadi
2 Stauffer, Gautier
2 Stawiski, Marcin
2 Topp, Jerzy
2 Torres, Juan Andres
2 Ungerer, Elna
2 Vetrík, Tomáš
2 Woźniak, Mariusz
2 Xu, Baogen
2 Yang, Yan
2 Yang, Zishen
2 Zambalaeva, D. Zh.
1 Achlioptas, Dimitris
1 Ai, Jiangdong
1 Akbari, Saieed
1 Albertson, Michael O.
1 Alikhani, Saeid
1 Ambrus, Gergely
1 Anbarasu, S.
1 Arugay, Esperanza Blancaflor
1 Bacsó, Gábor
1 Bang-Jensen, Jørgen
1 Barát, János
1 Bell, Jordan
1 Benadé, Gerhard
1 Boros, Endre
1 Borowiecka-Olszewska, Marta
1 Brešar, Boštjan
1 Bucko, Jozef
1 Bujtás, Csilla
1 Burness, Timothy C.
1 Cao, Weiting
1 Caro, Yair
1 Carraher, James M.
1 Casey Dargen, Karen
1 Casteigts, Arnaud
1 Cervantes, Jonathan
1 Changat, Manoj
1 Chaplick, Steven
1 Chebotarev, Pavel Yu.
1 Chen, Xuegang
1 Chen, Yongzhu
...and 144 more Authors
all top 5

Cited in 53 Serials

49 Discrete Mathematics
14 Discrete Applied Mathematics
10 Discussiones Mathematicae. Graph Theory
9 Journal of Graph Theory
9 Graphs and Combinatorics
6 Discrete Mathematics, Algorithms and Applications
4 Quaestiones Mathematicae
4 Theoretical Computer Science
4 The Electronic Journal of Combinatorics
3 Information Processing Letters
3 Czechoslovak Mathematical Journal
3 European Journal of Combinatorics
2 Journal of Combinatorial Theory. Series B
2 Linear Algebra and its Applications
2 Opuscula Mathematica
2 Journal of Shanghai University
2 Acta Mathematica Sinica. English Series
2 Sibirskie Èlektronnye Matematicheskie Izvestiya
2 Ars Mathematica Contemporanea
2 Science China. Mathematics
1 Computers & Mathematics with Applications
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Periodica Mathematica Hungarica
1 Algebra Universalis
1 Applied Mathematics and Computation
1 Functiones et Approximatio. Commentarii Mathematici
1 Journal of Combinatorial Theory. Series A
1 Operations Research Letters
1 Acta Mathematica Hungarica
1 Applied Mathematics Letters
1 SIAM Journal on Discrete Mathematics
1 Computational Geometry
1 European Journal of Operational Research
1 International Journal of Computer Mathematics
1 Journal of Algebraic Combinatorics
1 Finite Fields and their Applications
1 Journal of Combinatorial Optimization
1 Journal of Scheduling
1 Integers
1 Journal of the Australian Mathematical Society
1 Journal of Algebra and its Applications
1 Journal of Discrete Algorithms
1 AKCE International Journal of Graphs and Combinatorics
1 Discrete Optimization
1 Mathematics in Computer Science
1 Asian-European Journal of Mathematics
1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
1 Journal of Discrete Mathematics
1 Electronic Journal of Graph Theory and Applications
1 Open Mathematics
1 Algebraic Combinatorics
1 DML. Discrete Mathematics Letters
1 The Art of Discrete and Applied Mathematics

Citations by Year