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1

Traceability of -traceable oriented graphs

Susan A. van Aardt, Jean E. Dunbar, Marietjie Frick, Peter Katrenič, Morten H. Nielsen, Ortrud R. Oellermann

Journal:

Discrete Mathematics

Year:

2010

Language:

english

File:

PDF, 588 KB

english, 2010

2

On Saito’s Conjecture and the Oberly–Sumner Conjectures

van Aardt, Susan A., Dunbar, Jean E., Frick, Marietjie, Oellermann, Ortrud R., de Wet, Johan P.

Journal:

Graphs and Combinatorics

Year:

2017

Language:

english

File:

PDF, 740 KB

english, 2017

3

Infinite families of 2-hypohamiltonian/2-hypotraceable oriented graphs

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick…

Journal:

Graphs and Combinatorics

Year:

2014

Language:

english

File:

PDF, 1.71 MB

english, 2014

4

Hamilton cycles in sparse locally connected graphs

van Aardt, Susan A., Burger, Alewyn P., Frick, Marietjie, Thomassen, Carsten, de Wet, Johan P.

Journal:

Discrete Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 718 KB

english, 2018

5

Uniquely (m, k)τ-colourable graphs and k − τ-saturated graphs

Gerhard Benadé, Izak Broere, Betsie Jonck, Marietjie Frick

Journal:

Discrete Mathematics

Year:

1996

Language:

english

File:

PDF, 518 KB

english, 1996

6

[Annals of Discrete Mathematics] Quo Vadis, Graph Theory? - A Source Book for Challenges and Directions Volume 55 || A Survey of (m, k)-Colorings

Frick, Marietjie

Year:

1993

Language:

english

File:

PDF, 716 KB

english, 1993

7

The order of hypotraceable oriented graphs

Susan A. van Aardt, Marietjie Frick, Peter Katrenič, Morten H. Nielsen

Journal:

Discrete Mathematics

Year:

2011

Language:

english

File:

PDF, 277 KB

english, 2011

8

Global cycle properties in locally connected, locally traceable and locally hamiltonian graphs

van Aardt, Susan A., Frick, Marietjie, Oellermann, Ortrud R., de Wet, Johan

Journal:

Discrete Applied Mathematics

Year:

2016

Language:

english

File:

PDF, 391 KB

english, 2016

9

On the order of uniquely (k,m)-colourable graphs

Izak Broere, Marietjie Frick

Journal:

Discrete Mathematics

Year:

1990

Language:

english

File:

PDF, 578 KB

english, 1990

10

Path Partitions and Pn-free Sets

Jean E. Dunbar, Marietjie Frick, Frank Bullock

Journal:

Electronic Notes in Discrete Mathematics

Year:

2002

File:

PDF, 308 KB

2002

11

Hamiltonicity of locally hamiltonian and locally traceable graphs

de Wet, Johan P., Frick, Marietjie, van Aardt, Susan A.

Journal:

Discrete Applied Mathematics

Year:

2018

Language:

english

File:

PDF, 845 KB

english, 2018

12

Destroying longest cycles in graphs and digraphs

van Aardt, Susan A., Burger, Alewyn P., Dunbar, Jean E., Frick, Marietjie, Llano, Bernardo, Thomassen, Carsten, Zuazua, Rita

Journal:

Discrete Applied Mathematics

Year:

2015

Language:

english

File:

PDF, 438 KB

english, 2015

13

Extremal results on defective colorings of graphs

Marietjie Frick, Michael A. Henning

Journal:

Discrete Mathematics

Year:

1994

Language:

english

File:

PDF, 534 KB

english, 1994

14

Path partitions and -free sets

Jean E. Dunbar, Marietjie Frick, Frank Bullock

Journal:

Discrete Mathematics

Year:

2004

Language:

english

File:

PDF, 194 KB

english, 2004

15

A survey of the Path Partition Conjecture

Frick, Marietjie

Journal:

Discussiones Mathematicae Graph Theory

Year:

2013

Language:

english

File:

PDF, 251 KB

english, 2013

16

The Hamilton Cycle Problem for locally traceable and locally hamiltonian graphs

de Wet, Johan P., Frick, Marietjie

Journal:

Discrete Applied Mathematics

Year:

2019

Language:

english

File:

PDF, 1.22 MB

english, 2019

17

TWO RESULTS ON GENERALIZED CHROMATIC NUMBERS

Broere, Izak, Frick, Marietjie

Journal:

Quaestiones Mathematicae

Year:

1990

Language:

english

File:

PDF, 225 KB

english, 1990

18

The Hamilton Cycle Problem for locally traceable and locally hamiltonian graphs

de Wet, Johan P., Frick, Marietjie

Journal:

Discrete Applied Mathematics

Year:

2019

File:

PDF, 1.22 MB

2019

19

Proper connection and size of graphs

van Aardt, Susan A., Brause, Christoph, Burger, Alewyn P., Frick, Marietjie, Kemnitz, Arnfried, Schiermeyer, Ingo

Journal:

Discrete Mathematics

Year:

2016

Language:

english

File:

PDF, 261 KB

english, 2016

20

An Infinite Family of Planar Hypohamiltonian Oriented Graphs

Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick

Journal:

Graphs and Combinatorics

Year:

2013

Language:

english

File:

PDF, 220 KB

english, 2013

21

Smallest claw-free, 2-connected, nontraceable graphs and the construction of maximal nontraceable graphs

Frank Bullock, Marietjie Frick, Joy Singleton

Journal:

Discrete Mathematics

Year:

2007

Language:

english

File:

PDF, 203 KB

english, 2007

22

Cubic maximal nontraceable graphs

Marietjie Frick, Joy Singleton

Journal:

Discrete Mathematics

Year:

2007

Language:

english

File:

PDF, 165 KB

english, 2007

23

Cycles in -traceable oriented graphs

Susan A. van Aardt, Jean E. Dunbar, Marietjie Frick, Morten H. Nielsen

Journal:

Discrete Mathematics

Year:

2011

Language:

english

File:

PDF, 270 KB

english, 2011

24

Hypohamiltonian Oriented Graphs of All Possible Orders

van Aardt, Susan A., Burger, Alewyn P., Frick, Marietjie, Kemnitz, Arnfried, Schiermeyer, Ingo

Journal:

Graphs and Combinatorics

Year:

2015

Language:

english

File:

PDF, 526 KB

english, 2015

25

Independent detour transwersals in 3-deficient digraphs

Frick, Marietjie, Singleton, Joy, Van Aardt, Susan

Journal:

Discussiones Mathematicae Graph Theory

Year:

2013

Language:

english

File:

PDF, 285 KB

english, 2013

26

Nontraceable detour graphs

Frank Bullock, Marietjie Frick, Gabriel Semanišin, Róbert Vlačuha

Journal:

Discrete Mathematics

Year:

2007

Language:

english

File:

PDF, 218 KB

english, 2007

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