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Author ID: frick.marietjie Recent zbMATH articles by "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

Publications by Year

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 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

Citations by Year