Christina M. Mynhardt

95 papers Journal 95
YearRankTypeTitle / Venue / Authors
2025 J jnl
Lower boundary independent and hearing independent broadcasts in graphs.
Discuss. Math. Graph Theory
Julia Hoepner, Gary MacGillivray, Christina M. Mynhardt
2025 J jnl
Maximum boundary independent broadcasts in graphs and trees.
Electron. J. Graph Theory Appl.
Julia Hoepner, Gary MacGillivray, Christina M. Mynhardt
2023 J jnl
Enumerating the digitally convex sets of powers of cycles and Cartesian products of paths and complete graphs.
Discuss. Math. Graph Theory
MacKenzie Carr, Christina M. Mynhardt, Ortrud R. Oellermann
2022 J jnl
Eternal domination and clique covering.
Electron. J. Graph Theory Appl.
Gary MacGillivray, Christina M. Mynhardt, Virgélot Virgile
2022 J jnl
Irredundance graphs.
Discret. Appl. Math.
Christina M. Mynhardt, Adriana Roux
2022 J jnl
Irredundance trees of diameter 3.
Discret. Math.
Christina M. Mynhardt, Adriana Roux
2021 J jnl
Block graphs with large paired domination multisubdivision number.
Discuss. Math. Graph Theory
Christina M. Mynhardt, Joanna Raczek
2021 J jnl
Eternal Domination and Clique Covering.
CoRR
Gary MacGillivray, Christina M. Mynhardt, Virgélot Virgile
2020 J jnl
The k-conversion number of regular graphs.
AKCE Int. J. Graphs Comb.
Christina M. Mynhardt, Jane L. Wodlinger
2020 J jnl
Total Roman domination edge-supercritical and edge-removal-supercritical graphs.
Australas. J Comb.
Christina M. Mynhardt, S. E. A. Ogden
2019 J jnl
Connected k-dominating graphs.
Discret. Math.
Christina M. Mynhardt, L. E. Teshima, Adriana Roux
2019 J jnl
On k-total dominating graphs.
Australas. J Comb.
Saeid Alikhani, Davood Fatehi, Christina M. Mynhardt
2019 J jnl
Subgraph-avoiding minimum decycling sets and k-conversion sets in graphs.
Australas. J Comb.
M. D. Francis, Christina M. Mynhardt, Jane L. Wodlinger
2018 J jnl
The k-conversion number of regular graphs.
CoRR
Christina M. Mynhardt, Jane L. Wodlinger
2017 J jnl
Dominating and irredundant broadcasts in graphs.
Discret. Appl. Math.
Christina M. Mynhardt, Adriana Roux
2016 J jnl
Triangle decompositions of planar graphs.
Discuss. Math. Graph Theory
Christina M. Mynhardt, Christopher M. van Bommel
2015 J jnl
Domination, eternal domination and clique covering.
Discuss. Math. Graph Theory
William F. Klostermeyer, Christina M. Mynhardt
2015 J jnl
More trees with equal broadcast and domination numbers.
Australas. J Comb.
S. Lunney, Christina M. Mynhardt
2014 J jnl
A construction of a class of graphs with depression three.
Australas. J Comb.
Christina M. Mynhardt, Mark Schurch
2014 J jnl
Independent protection in graphs.
Discret. Math.
Bert L. Hartnell, Christina M. Mynhardt
2014 J jnl
The depression of a graph and
Discuss. Math. Graph Theory
Christina M. Mynhardt, Mark Schurch
2013 J jnl
A class of graphs with depression three.
Discret. Math.
Christina M. Mynhardt, Mark Schurch
2013 J jnl
A class of trees with equal broadcast and domination numbers.
Australas. J Comb.
Christina M. Mynhardt, Jane Wodlinger
2012 J jnl
Characterizing Cartesian fixers and multipliers.
Discuss. Math. Graph Theory
Stephen Benecke, Christina M. Mynhardt
2012 J jnl
Eternal Total Domination in Graphs.
Ars Comb.
William Klostermeyer, Christina M. Mynhardt
2012 J jnl
Vertex covers and eternal dominating sets.
Discret. Appl. Math.
William Klostermeyer, Christina M. Mynhardt
2011 J jnl
Broadcasts and domination in trees.
Discret. Math.
Ernest J. Cockayne, Sarada Herke, Christina M. Mynhardt
2011 J jnl
Graphs with equal eternal vertex cover and eternal domination numbers.
Discret. Math.
William Klostermeyer, Christina M. Mynhardt
2011 J jnl
Paired domination in prisms of graphs.
Discuss. Math. Graph Theory
Christina M. Mynhardt, Mark Schurch
2010 J jnl
Domination of generalized Cartesian products.
Discret. Math.
Stephen Benecke, Christina M. Mynhardt
2010 J jnl
Regular graphs are not universal fixers.
Discret. Math.
Alewyn P. Burger, Christina M. Mynhardt
2009 J jnl
Claw-free graphs are not universal fixers.
Discret. Math.
Ernest J. Cockayne, Richard G. Gibson, Christina M. Mynhardt
2009 J jnl
Edge protection in graphs.
Australas. J Comb.
William F. Klostermeyer, Christina M. Mynhardt
2009 J jnl
Radial trees.
Discret. Math.
Sarada Herke, Christina M. Mynhardt
2009 J jnl
Secure domination critical graphs.
Discret. Math.
Paul J. P. Grobler, Christina M. Mynhardt
2008 J jnl
Diameter of paired domination edge-critical graphs.
Australas. J Comb.
Michelle Edwards, Richard G. Gibson, Michael A. Henning, Christina M. Mynhardt
2008 J jnl
Maximal Nontraceable Graphs with Toughness less than One.
Electron. J. Comb.
Frank Bullock, Marietjie Frick, Joy Singleton, Susan A. van Aardt, Christina M. Mynhardt
2008 J jnl
Open irredundance and maximum degree in graphs.
Discret. Math.
Ernest J. Cockayne, Odile Favaron, Art S. Finbow, Christina M. Mynhardt
2008 J jnl
Secure domination and secure total domination in graphs.
Discuss. Math. Graph Theory
William Klostermeyer, Christina M. Mynhardt
2008 J jnl
Trees with depression three.
Discret. Math.
Christina M. Mynhardt
2008 J jnl
Trees with domination subdivision number one.
Australas. J Comb.
Stephen Benecke, Christina M. Mynhardt
2007 J jnl
Couterexample to a conjecture on the structure of bipartite partionable graphs.
Discuss. Math. Graph Theory
Richard G. Gibson, Christina M. Mynhardt
2006 J jnl
A lower bound for the depression of trees.
Australas. J Comb.
Ernest J. Cockayne, Christina M. Mynhardt
2006 J jnl
Construction of trees and graphs with equal domination parameters.
Discret. Math.
Michael Dorfling, Wayne Goddard, Michael A. Henning, Christina M. Mynhardt
2005 J jnl
Altitude of regular graphs with girth at least five.
Discret. Math.
Christina M. Mynhardt, Alewyn P. Burger, T. C. Clark, B. Falvai, N. D. R. Henderson
2005 J jnl
Altitude of small complete and complete bipartite graphs.
Australas. J Comb.
Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt
2004 J jnl
On i
Discret. Math.
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt
2004 J jnl
On the domination number of prisms of graphs.
Discuss. Math. Graph Theory
Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley
2004 J jnl
Total domination in Kr-covered graphs.
Ars Comb.
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt
2003 J jnl
An improved upper bound for queens domination numbers.
Discret. Math.
Alewyn P. Burger, Christina M. Mynhardt
2003 J jnl
Changing upper irredundance by edge addition.
Discret. Math.
Ernest J. Cockayne, Odile Favaron, Wayne Goddard, Paul J. P. Grobler, Christina M. Mynhardt
2003 J jnl
The domination number of the toroidal queens graph of size 3k×3k.
Australas. J Comb.
Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley
2003 J jnl
Total Domination Edge Critical Graphs with Minimum Diameter.
Ars Comb.
Lucas C. van der Merwe, Christina M. Mynhardt, Teresa W. Haynes
2003 J jnl
Upper bounds for the domination numbers of toroidal queens graphs.
Discuss. Math. Graph Theory
Christina M. Mynhardt
2003 J jnl
Vertices contained in all or in no minimum total dominating set of a tree.
Discret. Math.
Ernest J. Cockayne, Michael A. Henning, Christina M. Mynhardt
2002 J jnl
An upper bound for the minimum number of queens covering the n x n chessboard.
Discret. Appl. Math.
Alewyn P. Burger, Christina M. Mynhardt
2001 J jnl
Domination parameters and edge-removal-critical graphs.
Discret. Math.
Paul J. P. Grobler, Christina M. Mynhardt
2001 J jnl
Generalised Ramsey Numbers with respect to Classes of Graphs.
Ars Comb.
Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech
2001 J jnl
Properties of Queens graphs and the irredundance number of Q
Australas. J Comb.
Ernest J. Cockayne, Christina M. Mynhardt
2001 J jnl
Queens graphs for chessboards on the torus.
Australas. J Comb.
Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne
2001 J jnl
Ramsey properties of generalised irredundant sets in graphs.
Discret. Math.
Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech
2001 J jnl
Total Domination Edge Critical Graphs with Maximum Diameter.
Discuss. Math. Graph Theory
Teresa W. Haynes, Christina M. Mynhardt, Lucas C. van der Merwe
2001 J jnl
Vertex criticality for upper domination and irredundance.
J. Graph Theory
Paul J. P. Grobler, Christina M. Mynhardt
2000 J jnl
A characterization of (γ,
J. Graph Theory
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech
2000 J jnl
Nordhaus-Gaddum results for CO-irredundance in graphs.
Discret. Math.
Ernest J. Cockayne, Devon McCrea, Christina M. Mynhardt
2000 J jnl
On i-minus-Edge-Removal-critical graphs.
Electron. Notes Discret. Math.
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt
2000 J jnl
Total domination in graphs with minimum degree three.
J. Graph Theory
Odile Favaron, Michael A. Henning, Christina M. Mynhardt, Joël Puech
1999 J jnl
On 1-dependent ramsey numbers for graphs.
Discuss. Math. Graph Theory
Ernest J. Cockayne, Christina M. Mynhardt
1999 J jnl
Vertices contained in every minimum dominating set of a tree.
J. Graph Theory
Christina M. Mynhardt
1998 J jnl
An inequality chain of domination parameters for trees.
Discuss. Math. Graph Theory
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech
1998 J jnl
Irredundant and perfect neighbourhood sets in trees.
Discret. Math.
Ernest J. Cockayne, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Christina M. Mynhardt
1998 J jnl
Packing, perfect neighbourhood, irredundant and R-annihilated sets in graphs.
Australas. J Comb.
Ernest J. Cockayne, Odile Favaron, Joël Puech, Christina M. Mynhardt
1997 J jnl
Domination and irredundance in cubic graphs.
Discret. Math.
Ernest J. Cockayne, Christina M. Mynhardt
1997 J jnl
Domination and irredundance in the queens' graph.
Discret. Math.
Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt
1997 J jnl
Irredundance and Maximum Degree in Graphs.
Comb. Probab. Comput.
Ernest J. Cockayne, Christina M. Mynhardt
1997 J jnl
On Graphs With a Unique Least Common Multiple.
Ars Comb.
Gary Chartrand, Grzegorz Kubicki, Christina M. Mynhardt, Farrokh Saba
1997 J jnl
On equality in an upper bound for domination parameters of graphs.
J. Graph Theory
Odile Favaron, Christina M. Mynhardt
1996 J jnl
Domination critical graphs with higher independent domination numbers.
J. Graph Theory
S. Ao, Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt
1996 J jnl
On a generalization of signed dominating functions of graphs.
Ars Comb.
Ernest J. Cockayne, Christina M. Mynhardt
1996 J jnl
On the sizes of least common multiples of several pairs of graphs.
Ars Comb.
Odile Favaron, Christina M. Mynhardt
1996 J jnl
Universal maximal packing functions of graphs.
Discret. Math.
Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt
1995 J jnl
A characterisation of universal minimal total dominating functions in trees.
Discret. Math.
Ernest J. Cockayne, Christina M. Mynhardt
1995 J jnl
On a Nordhaus-Gaddum type problem for independent domination.
Discret. Math.
Ernest J. Cockayne, Gerd Fricke, Christina M. Mynhardt
1995 J jnl
Properties of minimal dominating functions of graphs.
Ars Comb.
Ernest J. Cockayne, Gerd Fricke, Stephen T. Hedetniemi, Christina M. Mynhardt
1995 J jnl
Total dominating functions in trees: Minimality and convexity.
J. Graph Theory
Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu
1994 J jnl
Convexity of minimal dominating functions of trees - II.
Discret. Math.
Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt
1994 J jnl
Universal minimal total dominating functions in graphs.
Networks
Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu
1993 J jnl
The sequence of upper and lower domination, independence and irredundance numbers of a graph.
Discret. Math.
Ernest J. Cockayne, Christina M. Mynhardt
1991 J jnl
Lower Ramsey numbers for graphs.
Discret. Math.
Christina M. Mynhardt
1990 J jnl
On generalised minimal domination parameters for paths.
Discret. Math.
Béla Bollobás, Ernest J. Cockayne, Christina M. Mynhardt
1989 J jnl
Irredundant ramsey numbers for graphs.
J. Graph Theory
Richard C. Brewster, Ernest J. Cockayne, Christina M. Mynhardt
1989 J jnl
On the product of upper irredundance numbers of a graph and its complement.
Discret. Math.
Ernest J. Cockayne, Christina M. Mynhardt
1985 J jnl
Degree sets of degree uniform graphs.
Graphs Comb.
Christina M. Mynhardt
1980 J jnl
G-constructibility of planar graphs.
J. Graph Theory
Christina M. Mynhardt, Izak Broere
1979 J jnl
Remarks on the critical graph conjecture.
Discret. Math.
Izak Broere, Christina M. Mynhardt