Edit Profile (opens in new tab) Frick, Marietjie Co-Author Distance Author ID: frick.marietjie Published as: Frick, Marietjie; Frick, M. External Links: ORCID Documents Indexed: 59 Publications since 1972 Reviewing Activity: 49 Reviews Co-Authors: 40 Co-Authors with 56 Joint Publications 956 Co-Co-Authors all top 5 Co-Authors 3 single-authored 24 van Aardt, Susan A. 18 Dunbar, Jean E. 9 Broere, Izak 9 Burger, Alewyn Petrus 8 Oellermann, Ortrud R. 7 Bullock, Frank 7 de Wet, Johan P. 6 Singleton, Joy Elizabeth 3 Katrenič, Peter 3 Llano, Bernardo 3 Mihók, Peter 3 Schiermeyer, Ingo 3 Semanišin, Gabriel 3 Zuazua, Rita Esther 2 Harris, John M. 2 Henning, Michael Anthony 2 Kemnitz, Arnfried 2 Mynhardt, Christina Magdalena 2 Thomassen, Carsten 2 Whitehead, Carol A. 1 Beineke, Lowell Wayne 1 Benadé, Gerhard 1 Borowiecki, Mieczysław 1 Brause, Christoph 1 Bucko, Jozef 1 Chartrand, Gary Theodore 1 Dankelmann, Peter 1 Dlamini, Gcina 1 Fricke, Gerd H. 1 Hevia, Héctor 1 Jarrett, Elzbieta B. 1 Jonck, Betsie 1 Lichiardopol, Nicolas 1 Newman, Michael Frederick 1 Saba, Farrokh 1 Skaggs, R. Duane 1 Van Cleemput, Nicolas 1 Vasky, Roman 1 Vlačuha, Róbert 1 Zamfirescu, Carol T. all top 5 Serials 12 Discrete Mathematics 9 Discussiones Mathematicae. Graph Theory 7 Utilitas Mathematica 7 The Electronic Journal of Combinatorics 5 Discrete Applied Mathematics 4 Graphs and Combinatorics 3 Journal of Graph Theory 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Bulletin of the Australian Mathematical Society 1 Quaestiones Mathematicae 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Mathematica Bohemica 1 Journal of the Australian Mathematical Society Fields 57 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 48 Publications have been cited 261 times in 141 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 Extremal results on defective colorings of graphs. Zbl 0794.05029 Frick, Marietjie; Henning, Michael A. 16 1994 Path kernles and partitions. Zbl 0941.05040 Dunbar, Jean E.; Frick, Marietjie 14 1999 The path partition conjecture is true for claw-free graphs. Zbl 1121.05092 Dunbar, J. E.; Frick, M. 12 2007 Proper connection and size of graphs. Zbl 1369.05088 van Aardt, Susan A.; Brause, Christoph; Burger, Alewyn P.; Frick, Marietjie; Kemnitz, Arnfried; Schiermeyer, Ingo 10 2017 The directed path partition conjecture. Zbl 1118.05040 Frick, Marietjie; van Aardt, Susan; Dlamini, Gcina; Dunbar, Jean; Oellermann, Ortrud 10 2005 Path partitions and \(P_{n}\)-free sets. Zbl 1056.05085 Dunbar, Jean E.; Frick, Marietjie; Bullock, Frank 10 2004 Global cycle properties in locally connected, locally traceable and locally Hamiltonian graphs. Zbl 1333.05177 van Aardt, Susan A.; Frick, Marietjie; Oellermann, Ortrud R.; de Wet, Johan 10 2016 A path(ological) partition problem. Zbl 0912.05048 Broere, Izak; Dunbar, Jean E.; Frick, Marietjie 9 1998 A traceability conjecture for oriented graphs. Zbl 1178.05046 Frick, Marietjie; van Aardt, Susan A.; Dunbar, Jean E.; Nielsen, Morten H.; Oellermann, Ortrud R. 9 2008 Progress on the traceability conjecture for oriented graphs. Zbl 1196.05036 Frick, Marietjie; Katrenič, Peter 9 2008 Detour chromatic numbers. Zbl 1002.05021 Frick, Marietjie; Bullock, Frank 8 2001 Infinite families of 2-hypohamiltonian/2-hypotraceable oriented graphs. Zbl 1298.05152 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Llano, Bernardo; Zuazua, Rita 8 2014 Traceability of \(k\)-traceable oriented graphs. Zbl 1195.05030 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Katrenič, Peter; Nielsen, Morten H.; Oellermann, Ortrud R. 8 2010 A survey of \((m,k)\)-colorings. Zbl 0787.05037 Frick, Marietjie 6 1993 The order of hypotraceable oriented graphs. Zbl 1225.05122 van Aardt, Susan A.; Frick, Marietjie; Katrenič, Peter; Nielsen, Morten H. 6 2011 An iterative approach to the traceability conjecture for oriented graphs. Zbl 1266.05044 Van Aardt, Susan; Burger, Alewyn; Dunbar, Jean; Frick, Marietjie; Harris, John; Singleton, Joy 6 2013 Hamiltonicity of locally Hamiltonian and locally traceable graphs. Zbl 1377.05105 de Wet, Johan P.; Frick, Marietjie; van Aardt, Susan A. 5 2018 An infinite family of planar hypohamiltonian oriented graphs. Zbl 1268.05095 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie 5 2013 A characterization of the sequence of generalized chromatic numbers of a graph. Zbl 0841.05031 Broere, Izak; Frick, Marietjie 4 1991 Soluble linear groups. Zbl 0221.20069 Frick, M.; Newman, M. F. 4 1972 Cycles in \(k\)-traceable oriented graphs. Zbl 1234.05116 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Nielsen, Morten H. 4 2011 Smallest claw-free, 2-connected, nontraceable graphs and the construction of maximal nontraceable graphs. Zbl 1117.05062 Bullock, Frank; Frick, Marietjie; Singleton, Joy 4 2007 On the order of uniquely (k,m)-colourable graphs. Zbl 0712.05024 Broere, Izak; Frick, Marietjie 3 1990 A new approach to the path partition conjecture. Zbl 1114.05080 Frick, Marietjie; Whitehead, Carol 3 2006 An asymptotic result for the path partition conjecture. Zbl 1075.05046 Frick, Marietjie; Schiermeyer, Ingo 3 2005 Critical graphs with respect to vertex identification. Zbl 1170.05035 Frick, Marietjie; Fricke, Gerd H.; Mynhardt, Christina M.; Skaggs, R. Duane 3 2008 Hamilton cycles in sparse locally connected graphs. Zbl 1406.05060 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Thomassen, Carsten; de Wet, Johan P. 2 2019 On the order of color critical graphs. Zbl 0641.05029 Broere, Izak; Frick, Marietjie 2 1985 Significant differences between path partitions in directed and undirected graphs. Zbl 1242.05141 Whitehead, Carol; Frick, Marietjie; van Aardt, Susan 2 2010 Uniquely \((m,k)^ \tau\)-colourable graphs and \(k-\tau\)-saturated graphs. Zbl 0870.05026 Benadé, Gerhard; Broere, Izak; Jonck, Betsie; Frick, Marietjie 2 1996 Nontraceable detour graphs. Zbl 1113.05052 Bullock, Frank; Frick, Marietjie; Semanišin, Gabriel; Vlačuha, Róbert 2 2007 Cubic maximal nontraceable graphs. Zbl 1118.05048 Frick, Marietjie; Singleton, Joy 2 2007 Self-diclique circulant digraphs. Zbl 1349.05141 Frick, Marietjie; Llano, Bernardo; Zuazua, Rita 1 2015 The nilpotent length of finite soluble groups. Zbl 0285.20026 Frick, M. 1 1973 A linear bound towards the traceability conjecture. Zbl 1326.05058 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Lichiardopol, Nicolas 1 2015 Hypohamiltonian oriented graphs of all possible orders. Zbl 1327.05196 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Kemnitz, Arnfried; Schiermeyer, Ingo 1 2015 On Saito’s conjecture and the Oberly-Sumner conjectures. Zbl 1371.05152 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Oellermann, Ortrud R.; de Wet, Johan P. 1 2017 Two results on generalized chromatic numbers. Zbl 0707.05026 Broere, Izak; Frick, Marietjie 1 1990 The existence of planar hypotraceable oriented graphs. Zbl 1400.05066 van Aardt, Susan; Burger, Alewyn Petrus; Frick, Marietjie 1 2017 Destroying longest cycles in graphs and digraphs. Zbl 1311.05094 van Aardt, Susan A.; Burger, Alewyn P.; Dunbar, Jean E.; Frick, Marietjie; Llano, Bernardo; Thomassen, Carsten; Zuazua, Rita 1 2015 Uniquely partionable graphs. Zbl 0906.05057 Bucko, Jozef; Frick, Marietjie; Mihók, Peter; Vasky, Roman 1 1997 The order of uniquely partitionable graphs. Zbl 0906.05058 Broere, Izak; Frick, Marietjie; Mihók, Peter 1 1997 Detour-saturated graphs. Zbl 1065.05055 Beineke, Lowell W.; Dunbar, J. E.; Frick, M. 1 2005 Lower bound for the size of maximal nontraceable graphs. Zbl 1074.05049 Frick, Marietjie; Singleton, Joy 1 2005 Path partitions and \(P_n\)-free sets. Zbl 1075.05501 Dunbar, Jean E.; Frick, Marietjie; Bullock, Frank 1 2002 The Hamilton cycle problem for locally traceable and locally Hamiltonian graphs. Zbl 1464.05221 de Wet, Johan P.; Frick, Marietjie 1 2019 Detour saturated oriented graphs. Zbl 1220.05053 van Aardt, Susan A.; Frick, Marietjie; Dunbar, Jean E.; Oellermann, Ortrud 1 2009 Hamilton cycles in sparse locally connected graphs. Zbl 1406.05060 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Thomassen, Carsten; de Wet, Johan P. 2 2019 The Hamilton cycle problem for locally traceable and locally Hamiltonian graphs. Zbl 1464.05221 de Wet, Johan P.; Frick, Marietjie 1 2019 Hamiltonicity of locally Hamiltonian and locally traceable graphs. Zbl 1377.05105 de Wet, Johan P.; Frick, Marietjie; van Aardt, Susan A. 5 2018 Proper connection and size of graphs. Zbl 1369.05088 van Aardt, Susan A.; Brause, Christoph; Burger, Alewyn P.; Frick, Marietjie; Kemnitz, Arnfried; Schiermeyer, Ingo 10 2017 On Saito’s conjecture and the Oberly-Sumner conjectures. Zbl 1371.05152 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Oellermann, Ortrud R.; de Wet, Johan P. 1 2017 The existence of planar hypotraceable oriented graphs. Zbl 1400.05066 van Aardt, Susan; Burger, Alewyn Petrus; Frick, Marietjie 1 2017 Global cycle properties in locally connected, locally traceable and locally Hamiltonian graphs. Zbl 1333.05177 van Aardt, Susan A.; Frick, Marietjie; Oellermann, Ortrud R.; de Wet, Johan 10 2016 Self-diclique circulant digraphs. Zbl 1349.05141 Frick, Marietjie; Llano, Bernardo; Zuazua, Rita 1 2015 A linear bound towards the traceability conjecture. Zbl 1326.05058 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Lichiardopol, Nicolas 1 2015 Hypohamiltonian oriented graphs of all possible orders. Zbl 1327.05196 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Kemnitz, Arnfried; Schiermeyer, Ingo 1 2015 Destroying longest cycles in graphs and digraphs. Zbl 1311.05094 van Aardt, Susan A.; Burger, Alewyn P.; Dunbar, Jean E.; Frick, Marietjie; Llano, Bernardo; Thomassen, Carsten; Zuazua, Rita 1 2015 Infinite families of 2-hypohamiltonian/2-hypotraceable oriented graphs. Zbl 1298.05152 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie; Llano, Bernardo; Zuazua, Rita 8 2014 An iterative approach to the traceability conjecture for oriented graphs. Zbl 1266.05044 Van Aardt, Susan; Burger, Alewyn; Dunbar, Jean; Frick, Marietjie; Harris, John; Singleton, Joy 6 2013 An infinite family of planar hypohamiltonian oriented graphs. Zbl 1268.05095 van Aardt, Susan A.; Burger, Alewyn P.; Frick, Marietjie 5 2013 The order of hypotraceable oriented graphs. Zbl 1225.05122 van Aardt, Susan A.; Frick, Marietjie; Katrenič, Peter; Nielsen, Morten H. 6 2011 Cycles in \(k\)-traceable oriented graphs. Zbl 1234.05116 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Nielsen, Morten H. 4 2011 Traceability of \(k\)-traceable oriented graphs. Zbl 1195.05030 van Aardt, Susan A.; Dunbar, Jean E.; Frick, Marietjie; Katrenič, Peter; Nielsen, Morten H.; Oellermann, Ortrud R. 8 2010 Significant differences between path partitions in directed and undirected graphs. Zbl 1242.05141 Whitehead, Carol; Frick, Marietjie; van Aardt, Susan 2 2010 Detour saturated oriented graphs. Zbl 1220.05053 van Aardt, Susan A.; Frick, Marietjie; Dunbar, Jean E.; Oellermann, Ortrud 1 2009 A traceability conjecture for oriented graphs. Zbl 1178.05046 Frick, Marietjie; van Aardt, Susan A.; Dunbar, Jean E.; Nielsen, Morten H.; Oellermann, Ortrud R. 9 2008 Progress on the traceability conjecture for oriented graphs. Zbl 1196.05036 Frick, Marietjie; Katrenič, Peter 9 2008 Critical graphs with respect to vertex identification. Zbl 1170.05035 Frick, Marietjie; Fricke, Gerd H.; Mynhardt, Christina M.; Skaggs, R. Duane 3 2008 The path partition conjecture is true for claw-free graphs. Zbl 1121.05092 Dunbar, J. E.; Frick, M. 12 2007 Smallest claw-free, 2-connected, nontraceable graphs and the construction of maximal nontraceable graphs. Zbl 1117.05062 Bullock, Frank; Frick, Marietjie; Singleton, Joy 4 2007 Nontraceable detour graphs. Zbl 1113.05052 Bullock, Frank; Frick, Marietjie; Semanišin, Gabriel; Vlačuha, Róbert 2 2007 Cubic maximal nontraceable graphs. Zbl 1118.05048 Frick, Marietjie; Singleton, Joy 2 2007 A new approach to the path partition conjecture. Zbl 1114.05080 Frick, Marietjie; Whitehead, Carol 3 2006 The directed path partition conjecture. Zbl 1118.05040 Frick, Marietjie; van Aardt, Susan; Dlamini, Gcina; Dunbar, Jean; Oellermann, Ortrud 10 2005 An asymptotic result for the path partition conjecture. Zbl 1075.05046 Frick, Marietjie; Schiermeyer, Ingo 3 2005 Detour-saturated graphs. Zbl 1065.05055 Beineke, Lowell W.; Dunbar, J. E.; Frick, M. 1 2005 Lower bound for the size of maximal nontraceable graphs. Zbl 1074.05049 Frick, Marietjie; Singleton, Joy 1 2005 Path partitions and \(P_{n}\)-free sets. Zbl 1056.05085 Dunbar, Jean E.; Frick, Marietjie; Bullock, Frank 10 2004 Path partitions and \(P_n\)-free sets. Zbl 1075.05501 Dunbar, Jean E.; Frick, Marietjie; Bullock, Frank 1 2002 Detour chromatic numbers. Zbl 1002.05021 Frick, Marietjie; Bullock, Frank 8 2001 Path kernles and partitions. Zbl 0941.05040 Dunbar, Jean E.; Frick, Marietjie 14 1999 A path(ological) partition problem. Zbl 0912.05048 Broere, Izak; Dunbar, Jean E.; Frick, Marietjie 9 1998 A survey of hereditary properties of graphs. Zbl 0902.05026 Borowiecki, Mieczysław; Broere, Izak; Frick, Marietjie; Mihók, Peter; Semanišin, Gabriel 46 1997 Uniquely partionable graphs. Zbl 0906.05057 Bucko, Jozef; Frick, Marietjie; Mihók, Peter; Vasky, Roman 1 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 Extremal results on defective colorings of graphs. Zbl 0794.05029 Frick, Marietjie; Henning, Michael A. 16 1994 A survey of \((m,k)\)-colorings. Zbl 0787.05037 Frick, Marietjie 6 1993 A characterization of the sequence of generalized chromatic numbers of a graph. Zbl 0841.05031 Broere, Izak; Frick, Marietjie 4 1991 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 On the order of color critical graphs. Zbl 0641.05029 Broere, Izak; Frick, Marietjie 2 1985 The nilpotent length of finite soluble groups. Zbl 0285.20026 Frick, M. 1 1973 Soluble linear groups. Zbl 0221.20069 Frick, M.; Newman, M. F. 4 1972 all cited Publications top 5 cited Publications all top 5 Cited by 186 Authors 23 Frick, Marietjie 12 van Aardt, Susan A. 11 Semanišin, Gabriel 9 Dunbar, Jean E. 9 Mihók, Peter 9 Schiermeyer, Ingo 7 Broere, Izak 7 Zamfirescu, Carol T. 6 Burger, Alewyn Petrus 6 Jendrol’, Stanislav 5 Borowiecki, Mieczysław 5 Bullock, Frank 5 de Wet, Johan P. 5 Kemnitz, Arnfried 5 Lichiardopol, Nicolas 4 Katrenič, Peter 4 Marangio, Massimiliano 4 Oellermann, Ortrud R. 4 Sidorowicz, Elżbieta 3 Brause, Christoph 3 Charon, Irène 3 Doan, Trung Duy 3 Drgas-Burchardt, Ewa 3 Fiedorowicz, Anna 3 Glebov, Alekseĭ Nikolaevich 3 Hudry, Olivier 3 Lin, Wensong 3 Llano, Bernardo 3 Lobstein, Antoine-Christophe 3 Soták, Roman 3 Tuza, Zsolt 3 Voigt, Margit 2 Ait-Ferhat, Dehia 2 Asratian, Armen S. 2 Belmonte, Rémy 2 Borchert, Adam 2 Chiba, Shuya 2 Dorfling, Michael J. 2 Galeana-Sánchez, Hortensia 2 Granholm, Jonas B. 2 Heidema, Johannes 2 Honkala, Iiro S. 2 Juliard, Vincent 2 Lampis, Michael 2 Mitsou, Valia 2 Nicol, Skylar 2 Nielsen, Morten Hegner 2 Schweser, Thomas 2 Sereni, Jean-Sébastien 2 Singleton, Joy Elizabeth 2 Stauffer, Gautier 2 Thomassen, Carsten 2 Tian, Tao 2 Torres, Juan Andres 2 Vumar, Elkin 2 Xiong, Liming 2 Zambalaeva, D. Zh. 2 Zuazua, Rita Esther 1 Achuthan, N. R. 1 Achuthan, Nirmala 1 Ai, Jiangdong 1 Aldred, Robert E. L. 1 Anbarasu, S. 1 Bachtler, Oliver 1 Bacsó, Gábor 1 Balasubramaniam, Chitra 1 Balasundaram, Balabhaskar 1 Bang-Jensen, Jørgen 1 Beineke, Lowell Wayne 1 Benadé, Gerhard 1 Borowiecka-Olszewska, Marta 1 Borowiecki, Piotr 1 Brešar, Boštjan 1 Brown, Jason Ira 1 Bucko, Jozef 1 Bujtás, Csilla 1 Butenko, Sergiy I. 1 Casteigts, Arnaud 1 Chang, Hong 1 Changat, Manoj 1 Chen, Guantao 1 Chen, Xiaodong 1 Chen, Yongzhu 1 Chen, Zhihong 1 Cheng, Eddie 1 Czap, Július 1 Dorfling, Samantha 1 Dubois, Swan 1 Dudek, Aneta 1 Dvořák, Zdeněk 1 Ekim, Tınaz 1 Farrugia, Alastair 1 Gerke, Stefanie 1 Gimbel, John G. 1 Goddard, Wayne Dean 1 Goedgebeur, Jan 1 Gómez, Ricardo 1 Górska, Joanna 1 Guan, Xiaxia 1 Gudmundsson, Bjarki Agust ...and 86 more Authors all top 5 Cited in 35 Serials 41 Discrete Mathematics 14 Discrete Applied Mathematics 14 Graphs and Combinatorics 12 Discussiones Mathematicae. Graph Theory 6 Journal of Graph Theory 4 The Electronic Journal of Combinatorics 3 Czechoslovak Mathematical Journal 3 Discrete Mathematics, Algorithms and Applications 2 Applied Mathematics and Computation 2 Mathematische Zeitschrift 2 SIAM Journal on Discrete Mathematics 2 Sibirskie Èlektronnye Matematicheskie Izvestiya 2 Cryptography and Communications 2 Science China. Mathematics 2 Open Mathematics 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Advances in Mathematics 1 Journal of Combinatorial Theory. Series B 1 Journal of Soviet Mathematics 1 Quaestiones Mathematicae 1 Theoretical Computer Science 1 European Journal of Combinatorics 1 Operations Research Letters 1 Applied Mathematics Letters 1 European Journal of Operational Research 1 Computational Optimization and Applications 1 Opuscula Mathematica 1 Journal of Scheduling 1 Discrete Mathematics and Theoretical Computer Science. DMTCS 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Discrete Optimization 1 Mathematics in Computer Science 1 Ars Mathematica Contemporanea 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ all top 5 Cited in 6 Fields 133 Combinatorics (05-XX) 11 Computer science (68-XX) 6 Operations research, mathematical programming (90-XX) 4 Group theory and generalizations (20-XX) 4 Information and communication theory, circuits (94-XX) 2 Order, lattices, ordered algebraic structures (06-XX) Citations by Year