Edit Profile (opens in new tab) Broere, Izak Co-Author Distance Author ID: 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 all top 5 Co-Authors 5 single-authored 11 Heidema, Johannes 10 Mihók, Peter 9 Frick, Marietjie 6 Hattingh, Johannes H. 5 Jonck, Elizabeth 5 Mynhardt, Christina Magdalena 4 Borowiecki, Mieczysław 3 Benadé, Gerhard 3 Bucko, Jozef 3 Domke, Gayla S. 3 Dorfling, Michael J. 3 Henning, Michael Anthony 3 Pilśniak, Monika 3 Semanišin, Gabriel 2 Beineke, Lowell Wayne 2 Berger, Amelie J. 2 Burger, Marieta 2 Dunbar, Jean E. 2 Matsoha, Moroli D. V. 2 Moagi, Samuel John Teboho 1 Bouwer, Izak Z. 1 Brown, Jason Ira 1 Chartrand, Gary Theodore 1 Cheng, Lin 1 Doman, David B. 1 Dorfling, Samantha 1 Drgas-Burchardt, Ewa 1 Ferreira, Hendrik C. 1 Goddard, Wayne Dean 1 Hajnal, Péter 1 Imrich, Wilfried 1 Jonck, Betsie 1 Kalinowski, Rafał 1 Markus, Lisa R. 1 McRae, Alice A. 1 Oellermann, Ortrud R. 1 Pretorius, Lou M. 1 Ridley, James N. 1 Ungerer, Elna 1 Vasky, Roman 1 Veldsman, Stefan 1 Vetrík, Tomáš 1 Voigt, Margit 1 Wall, Curtiss E. 1 Wilson, Bonita S. all top 5 Serials 17 Discussiones Mathematicae. Graph Theory 8 Discrete Mathematics 5 Quaestiones Mathematicae 4 Ars Combinatoria 4 Journal of Graph Theory 4 Utilitas Mathematica 2 Journal of Mathematical and Physical Sciences 2 Graphs and Combinatorics 2 The Australasian Journal of Combinatorics 2 Tatra Mountains Mathematical Publications 2 Bulletin of the Institute of Combinatorics and its Applications 1 Discrete Applied Mathematics 1 IEEE Transactions on Information Theory 1 Information Processing Letters 1 Canadian Mathematical Bulletin 1 Mathematica Slovaca 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 The Electronic Journal of Combinatorics 1 Geombinatorics 1 Acta Mathematica Sinica. English Series 1 Ars Mathematica Contemporanea all top 5 Fields 68 Combinatorics (05-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Number theory (11-XX) 1 Associative rings and algebras (16-XX) 1 General topology (54-XX) 1 Computer science (68-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications 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 cited Publications top 5 cited Publications 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 all top 5 Cited in 15 Fields 172 Combinatorics (05-XX) 16 Computer science (68-XX) 5 Number theory (11-XX) 5 Associative rings and algebras (16-XX) 4 Operations research, mathematical programming (90-XX) 3 General algebraic systems (08-XX) 3 Group theory and generalizations (20-XX) 2 History and biography (01-XX) 2 General topology (54-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Category theory; homological algebra (18-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year