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Christina M. Mynhardt
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- affiliation: University of Victoria, BC, Canada
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2020 – today
- 2024
- [j92]Elise Marchessault, Kieka Mynhardt:
Lower boundary independent broadcasts in trees. Discuss. Math. Graph Theory 44(1): 75 (2024) - 2023
- [j91]MacKenzie Carr, Christina M. Mynhardt, Ortrud R. Oellermann:
Enumerating the digitally convex sets of powers of cycles and Cartesian products of paths and complete graphs. Discuss. Math. Graph Theory 43(3): 859-874 (2023) - 2022
- [j90]Christina M. Mynhardt, Adriana Roux:
Irredundance graphs. Discret. Appl. Math. 322: 36-48 (2022) - [j89]Christina M. Mynhardt, Adriana Roux:
Irredundance trees of diameter 3. Discret. Math. 345(12): 113079 (2022) - [j88]Gary MacGillivray, Christina M. Mynhardt, Virgélot Virgile:
Eternal domination and clique covering. Electron. J. Graph Theory Appl. 10(2): 603-624 (2022) - 2021
- [j87]Christina M. Mynhardt, Joanna Raczek:
Block graphs with large paired domination multisubdivision number. Discuss. Math. Graph Theory 41(2): 665-684 (2021) - [i2]Gary MacGillivray, Christina M. Mynhardt, Virgélot Virgile:
Eternal Domination and Clique Covering. CoRR abs/2110.09732 (2021) - 2020
- [j86]Christina M. Mynhardt, S. E. A. Ogden:
Total Roman domination edge-supercritical and edge-removal-supercritical graphs. Australas. J Comb. 78: 413-433 (2020) - [j85]Christina M. Mynhardt, Jane L. Wodlinger:
The k-conversion number of regular graphs. AKCE Int. J. Graphs Comb. 17(3): 955-965 (2020)
2010 – 2019
- 2019
- [j84]Saeid Alikhani, Davood Fatehi, Christina M. Mynhardt:
On k-total dominating graphs. Australas. J Comb. 73: 313-333 (2019) - [j83]M. D. Francis, Christina M. Mynhardt, Jane L. Wodlinger:
Subgraph-avoiding minimum decycling sets and k-conversion sets in graphs. Australas. J Comb. 74: 288-304 (2019) - [j82]Christina M. Mynhardt, L. E. Teshima, Adriana Roux:
Connected k-dominating graphs. Discret. Math. 342(1): 145-151 (2019) - 2018
- [i1]Christina M. Mynhardt, Jane L. Wodlinger:
The k-conversion number of regular graphs. CoRR abs/1812.03250 (2018) - 2017
- [j81]Christina M. Mynhardt, Adriana Roux:
Dominating and irredundant broadcasts in graphs. Discret. Appl. Math. 220: 80-90 (2017) - 2016
- [j80]Christina M. Mynhardt, Christopher M. van Bommel:
Triangle decompositions of planar graphs. Discuss. Math. Graph Theory 36(3): 643-659 (2016) - 2015
- [j79]S. Lunney, Christina M. Mynhardt:
More trees with equal broadcast and domination numbers. Australas. J Comb. 61: 251-272 (2015) - [j78]William F. Klostermeyer, Christina M. Mynhardt:
Domination, eternal domination and clique covering. Discuss. Math. Graph Theory 35(2): 283-300 (2015) - 2014
- [j77]Christina M. Mynhardt, Mark Schurch:
A construction of a class of graphs with depression three. Australas. J Comb. 58: 249-263 (2014) - [j76]Bert L. Hartnell, Christina M. Mynhardt:
Independent protection in graphs. Discret. Math. 335: 100-109 (2014) - [j75]Christina M. Mynhardt, Mark Schurch:
The depression of a graph and k-kernels. Discuss. Math. Graph Theory 34(2): 233-247 (2014) - 2013
- [j74]Christina M. Mynhardt, Jane Wodlinger:
A class of trees with equal broadcast and domination numbers. Australas. J Comb. 56: 3-22 (2013) - [j73]Christina M. Mynhardt, Mark Schurch:
A class of graphs with depression three. Discret. Math. 313(11): 1224-1232 (2013) - 2012
- [j72]William Klostermeyer, Christina M. Mynhardt:
Eternal Total Domination in Graphs. Ars Comb. 107: 473-492 (2012) - [j71]William Klostermeyer, Christina M. Mynhardt:
Vertex covers and eternal dominating sets. Discret. Appl. Math. 160(7-8): 1183-1190 (2012) - [j70]Stephen Benecke, Christina M. Mynhardt:
Characterizing Cartesian fixers and multipliers. Discuss. Math. Graph Theory 32(1): 161-175 (2012) - 2011
- [j69]Ernest J. Cockayne, Sarada Herke, Christina M. Mynhardt:
Broadcasts and domination in trees. Discret. Math. 311(13): 1235-1246 (2011) - [j68]William Klostermeyer, Christina M. Mynhardt:
Graphs with equal eternal vertex cover and eternal domination numbers. Discret. Math. 311(14): 1371-1379 (2011) - [j67]Christina M. Mynhardt, Mark Schurch:
Paired domination in prisms of graphs. Discuss. Math. Graph Theory 31(1): 5-23 (2011) - 2010
- [j66]Alewyn P. Burger, Christina M. Mynhardt:
Regular graphs are not universal fixers. Discret. Math. 310(2): 364-368 (2010) - [j65]Stephen Benecke, Christina M. Mynhardt:
Domination of generalized Cartesian products. Discret. Math. 310(8): 1392-1397 (2010)
2000 – 2009
- 2009
- [j64]William F. Klostermeyer, Christina M. Mynhardt:
Edge protection in graphs. Australas. J Comb. 45: 235-250 (2009) - [j63]Ernest J. Cockayne, Richard G. Gibson, Christina M. Mynhardt:
Claw-free graphs are not universal fixers. Discret. Math. 309(1): 128-133 (2009) - [j62]Paul J. P. Grobler, Christina M. Mynhardt:
Secure domination critical graphs. Discret. Math. 309(19): 5820-5827 (2009) - [j61]Sarada Herke, Christina M. Mynhardt:
Radial trees. Discret. Math. 309(20): 5950-5962 (2009) - 2008
- [j60]Michelle Edwards, Richard G. Gibson, Michael A. Henning, Christina M. Mynhardt:
Diameter of paired domination edge-critical graphs. Australas. J Comb. 40: 279-292 (2008) - [j59]Stephen Benecke, Christina M. Mynhardt:
Trees with domination subdivision number one. Australas. J Comb. 42: 201-210 (2008) - [j58]Frank Bullock, Marietjie Frick, Joy Singleton, Susan A. van Aardt, Christina M. Mynhardt:
Maximal Nontraceable Graphs with Toughness less than One. Electron. J. Comb. 15(1) (2008) - [j57]Christina M. Mynhardt:
Trees with depression three. Discret. Math. 308(5-6): 855-864 (2008) - [j56]Ernest J. Cockayne, Odile Favaron, Art S. Finbow, Christina M. Mynhardt:
Open irredundance and maximum degree in graphs. Discret. Math. 308(23): 5358-5375 (2008) - [j55]William Klostermeyer, Christina M. Mynhardt:
Secure domination and secure total domination in graphs. Discuss. Math. Graph Theory 28(2): 267-282 (2008) - 2007
- [j54]Richard G. Gibson, Christina M. Mynhardt:
Couterexample to a conjecture on the structure of bipartite partionable graphs. Discuss. Math. Graph Theory 27(3): 527-540 (2007) - 2006
- [j53]Ernest J. Cockayne, Christina M. Mynhardt:
A lower bound for the depression of trees. Australas. J Comb. 35: 319-328 (2006) - [j52]Michael Dorfling, Wayne Goddard, Michael A. Henning, Christina M. Mynhardt:
Construction of trees and graphs with equal domination parameters. Discret. Math. 306(21): 2647-2654 (2006) - 2005
- [j51]Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt:
Altitude of small complete and complete bipartite graphs. Australas. J Comb. 31: 167-178 (2005) - [j50]Christina M. Mynhardt, Alewyn P. Burger, T. C. Clark, B. Falvai, N. D. R. Henderson:
Altitude of regular graphs with girth at least five. Discret. Math. 294(3): 241-257 (2005) - 2004
- [j49]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
Total domination in Kr-covered graphs. Ars Comb. 71 (2004) - [j48]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
On i--ER-critical graphs. Discret. Math. 276(1-3): 111-125 (2004) - [j47]Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley:
On the domination number of prisms of graphs. Discuss. Math. Graph Theory 24(2): 303-318 (2004) - 2003
- [j46]Alewyn P. Burger, Christina M. Mynhardt, William D. Weakley:
The domination number of the toroidal queens graph of size 3k×3k. Australas. J Comb. 28: 137-148 (2003) - [j45]Lucas C. van der Merwe, Christina M. Mynhardt, Teresa W. Haynes:
Total Domination Edge Critical Graphs with Minimum Diameter. Ars Comb. 66 (2003) - [j44]Ernest J. Cockayne, Michael A. Henning, Christina M. Mynhardt:
Vertices contained in all or in no minimum total dominating set of a tree. Discret. Math. 260(1-3): 37-44 (2003) - [j43]Alewyn P. Burger, Christina M. Mynhardt:
An improved upper bound for queens domination numbers. Discret. Math. 266(1-3): 119-131 (2003) - [j42]Ernest J. Cockayne, Odile Favaron, Wayne Goddard, Paul J. P. Grobler, Christina M. Mynhardt:
Changing upper irredundance by edge addition. Discret. Math. 266(1-3): 185-193 (2003) - [j41]Christina M. Mynhardt:
Upper bounds for the domination numbers of toroidal queens graphs. Discuss. Math. Graph Theory 23(1): 163-175 (2003) - 2002
- [j40]Alewyn P. Burger, Christina M. Mynhardt:
An upper bound for the minimum number of queens covering the n x n chessboard. Discret. Appl. Math. 121(1-3): 51-60 (2002) - 2001
- [j39]Ernest J. Cockayne, Christina M. Mynhardt:
Properties of Queens graphs and the irredundance number of Q7. Australas. J Comb. 23: 285-300 (2001) - [j38]Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne:
Queens graphs for chessboards on the torus. Australas. J Comb. 24: 231-246 (2001) - [j37]Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech:
Generalised Ramsey Numbers with respect to Classes of Graphs. Ars Comb. 59 (2001) - [j36]Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech:
Ramsey properties of generalised irredundant sets in graphs. Discret. Math. 231(1-3): 123-134 (2001) - [j35]Paul J. P. Grobler, Christina M. Mynhardt:
Domination parameters and edge-removal-critical graphs. Discret. Math. 231(1-3): 221-239 (2001) - [j34]Teresa W. Haynes, Christina M. Mynhardt, Lucas C. van der Merwe:
Total Domination Edge Critical Graphs with Maximum Diameter. Discuss. Math. Graph Theory 21(2): 187-205 (2001) - [j33]Paul J. P. Grobler, Christina M. Mynhardt:
Vertex criticality for upper domination and irredundance. J. Graph Theory 37(4): 205-212 (2001) - 2000
- [j32]Ernest J. Cockayne, Devon McCrea, Christina M. Mynhardt:
Nordhaus-Gaddum results for CO-irredundance in graphs. Discret. Math. 211: 209-215 (2000) - [j31]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
On i-minus-Edge-Removal-critical graphs. Electron. Notes Discret. Math. 5: 64-66 (2000) - [j30]Odile Favaron, Michael A. Henning, Christina M. Mynhardt, Joël Puech:
Total domination in graphs with minimum degree three. J. Graph Theory 34(1): 9-19 (2000) - [j29]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech:
A characterization of (γ, i)-trees. J. Graph Theory 34(4): 277-292 (2000)
1990 – 1999
- 1999
- [j28]Ernest J. Cockayne, Christina M. Mynhardt:
On 1-dependent ramsey numbers for graphs. Discuss. Math. Graph Theory 19(1): 93-110 (1999) - [j27]Christina M. Mynhardt:
Vertices contained in every minimum dominating set of a tree. J. Graph Theory 31(3): 163-177 (1999) - 1998
- [j26]Ernest J. Cockayne, Odile Favaron, Joël Puech, Christina M. Mynhardt:
Packing, perfect neighbourhood, irredundant and R-annihilated sets in graphs. Australas. J Comb. 18: 253-262 (1998) - [j25]Ernest J. Cockayne, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Christina M. Mynhardt:
Irredundant and perfect neighbourhood sets in trees. Discret. Math. 188(1-3): 253-260 (1998) - [j24]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech:
An inequality chain of domination parameters for trees. Discuss. Math. Graph Theory 18(1): 127-142 (1998) - 1997
- [j23]Gary Chartrand, Grzegorz Kubicki, Christina M. Mynhardt, Farrokh Saba:
On Graphs With a Unique Least Common Multiple. Ars Comb. 46 (1997) - [j22]Ernest J. Cockayne, Christina M. Mynhardt:
Irredundance and Maximum Degree in Graphs. Comb. Probab. Comput. 6(2): 153-157 (1997) - [j21]Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt:
Domination and irredundance in the queens' graph. Discret. Math. 163(1-3): 47-66 (1997) - [j20]Ernest J. Cockayne, Christina M. Mynhardt:
Domination and irredundance in cubic graphs. Discret. Math. 167-168: 205-214 (1997) - [j19]Odile Favaron, Christina M. Mynhardt:
On equality in an upper bound for domination parameters of graphs. J. Graph Theory 24(3): 221-231 (1997) - 1996
- [j18]Ernest J. Cockayne, Christina M. Mynhardt:
On a generalization of signed dominating functions of graphs. Ars Comb. 43 (1996) - [j17]Odile Favaron, Christina M. Mynhardt:
On the sizes of least common multiples of several pairs of graphs. Ars Comb. 43 (1996) - [j16]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
Universal maximal packing functions of graphs. Discret. Math. 159(1-3): 57-68 (1996) - [j15]S. Ao, Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt:
Domination critical graphs with higher independent domination numbers. J. Graph Theory 22(1): 9-14 (1996) - 1995
- [j14]Ernest J. Cockayne, Gerd Fricke, Stephen T. Hedetniemi, Christina M. Mynhardt:
Properties of minimal dominating functions of graphs. Ars Comb. 41 (1995) - [j13]Ernest J. Cockayne, Gerd Fricke, Christina M. Mynhardt:
On a Nordhaus-Gaddum type problem for independent domination. Discret. Math. 138(1-3): 199-205 (1995) - [j12]Ernest J. Cockayne, Christina M. Mynhardt:
A characterisation of universal minimal total dominating functions in trees. Discret. Math. 141(1-3): 75-84 (1995) - [j11]Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu:
Total dominating functions in trees: Minimality and convexity. J. Graph Theory 19(1): 83-92 (1995) - 1994
- [j10]Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt:
Convexity of minimal dominating functions of trees - II. Discret. Math. 125(1-3): 137-146 (1994) - [j9]Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu:
Universal minimal total dominating functions in graphs. Networks 24(2): 83-90 (1994) - 1993
- [j8]Ernest J. Cockayne, Christina M. Mynhardt:
The sequence of upper and lower domination, independence and irredundance numbers of a graph. Discret. Math. 122(1-3): 89-102 (1993) - 1991
- [j7]Christina M. Mynhardt:
Lower Ramsey numbers for graphs. Discret. Math. 91(1): 69-75 (1991) - 1990
- [j6]Béla Bollobás, Ernest J. Cockayne, Christina M. Mynhardt:
On generalised minimal domination parameters for paths. Discret. Math. 86(1-3): 89-97 (1990)
1980 – 1989
- 1989
- [j5]Ernest J. Cockayne, Christina M. Mynhardt:
On the product of upper irredundance numbers of a graph and its complement. Discret. Math. 76(2): 117-121 (1989) - [j4]Richard C. Brewster, Ernest J. Cockayne, Christina M. Mynhardt:
Irredundant ramsey numbers for graphs. J. Graph Theory 13(3): 283-290 (1989) - 1985
- [j3]Christina M. Mynhardt:
Degree sets of degree uniform graphs. Graphs Comb. 1(1): 283-290 (1985) - 1980
- [j2]Christina M. Mynhardt, Izak Broere:
G-constructibility of planar graphs. J. Graph Theory 4(3): 269-278 (1980)
1970 – 1979
- 1979
- [j1]Izak Broere, Christina M. Mynhardt:
Remarks on the critical graph conjecture. Discret. Math. 26(3): 209-212 (1979)
Coauthor Index
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