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Ernest J. Cockayne
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- affiliation: University of Victoria, BC, Canada
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2010 – 2019
- 2011
- [j70]Ernest J. Cockayne, Sarada Herke, Christina M. Mynhardt:
Broadcasts and domination in trees. Discret. Math. 311(13): 1235-1246 (2011)
2000 – 2009
- 2009
- [j69]Ernest J. Cockayne, Richard G. Gibson, Christina M. Mynhardt:
Claw-free graphs are not universal fixers. Discret. Math. 309(1): 128-133 (2009) - 2008
- [j68]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) - 2007
- [j67]Ernest J. Cockayne:
Irredundance, secure domination and maximum degree in trees. Discret. Math. 307(1): 12-17 (2007) - 2006
- [j66]Ernest J. Cockayne, Christina M. Mynhardt:
A lower bound for the depression of trees. Australas. J Comb. 35: 319-328 (2006) - 2005
- [j65]Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt:
Altitude of small complete and complete bipartite graphs. Australas. J Comb. 31: 167-178 (2005) - 2004
- [j64]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
Total domination in Kr-covered graphs. Ars Comb. 71 (2004) - [j63]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
On i--ER-critical graphs. Discret. Math. 276(1-3): 111-125 (2004) - [j62]Ernest J. Cockayne, Paul A. Dreyer Jr., Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi:
Roman domination in graphs. Discret. Math. 278(1-3): 11-22 (2004) - [j61]Ernest J. Cockayne, Art Stephen Finbow:
Generalised irredundance in graphs: Nordhaus-Gaddum bounds. Discuss. Math. Graph Theory 24(1): 147-160 (2004) - 2003
- [j60]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) - [j59]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) - 2001
- [j58]Ernest J. Cockayne, Christina M. Mynhardt:
Properties of Queens graphs and the irredundance number of Q7. Australas. J Comb. 23: 285-300 (2001) - [j57]Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne:
Queens graphs for chessboards on the torus. Australas. J Comb. 24: 231-246 (2001) - [j56]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) - [j55]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) - 2000
- [j54]Ernest J. Cockayne:
Irredundance in the Queen's Graph. Ars Comb. 55 (2000) - [j53]Ernest J. Cockayne, Devon McCrea, Christina M. Mynhardt:
Nordhaus-Gaddum results for CO-irredundance in graphs. Discret. Math. 211: 209-215 (2000) - [j52]Baogen Xu, Ernest J. Cockayne, Teresa W. Haynes, Stephen T. Hedetniemi, Zhou Shangchao:
Extremal graphs for inequalities involving domination parameters. Discret. Math. 216(1-3): 1-10 (2000) - [j51]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
On i-minus-Edge-Removal-critical graphs. Electron. Notes Discret. Math. 5: 64-66 (2000) - [j50]Ernest J. Cockayne, Gary MacGillivray, Jill Simmons:
CO-irredundant Ramsey numbers for graphs. J. Graph Theory 34(4): 258-268 (2000) - [j49]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
- [j48]Ernest J. Cockayne, Christina M. Mynhardt:
On 1-dependent ramsey numbers for graphs. Discuss. Math. Graph Theory 19(1): 93-110 (1999) - 1998
- [j47]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) - [j46]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) - [j45]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
- [j44]Ernest J. Cockayne, Christina M. Mynhardt:
Irredundance and Maximum Degree in Graphs. Comb. Probab. Comput. 6(2): 153-157 (1997) - [j43]Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt:
Domination and irredundance in the queens' graph. Discret. Math. 163(1-3): 47-66 (1997) - [j42]Ernest J. Cockayne, Christina M. Mynhardt:
Domination and irredundance in cubic graphs. Discret. Math. 167-168: 205-214 (1997) - [j41]Ernest J. Cockayne, Johannes H. Hattingh, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Alice A. McRae:
Using maximality and minimality conditions to construct inequality chains. Discret. Math. 176(1-3): 43-61 (1997) - 1996
- [j40]Ernest J. Cockayne, Christina M. Mynhardt:
On a generalization of signed dominating functions of graphs. Ars Comb. 43 (1996) - [j39]Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt:
Universal maximal packing functions of graphs. Discret. Math. 159(1-3): 57-68 (1996) - [j38]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
- [j37]Ernest J. Cockayne, Gerd Fricke, Stephen T. Hedetniemi, Christina M. Mynhardt:
Properties of minimal dominating functions of graphs. Ars Comb. 41 (1995) - [j36]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) - [j35]Ernest J. Cockayne, Christina M. Mynhardt:
A characterisation of universal minimal total dominating functions in trees. Discret. Math. 141(1-3): 75-84 (1995) - [j34]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
- [j33]Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt:
Convexity of minimal dominating functions of trees - II. Discret. Math. 125(1-3): 137-146 (1994) - [j32]Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu:
Universal minimal total dominating functions in graphs. Networks 24(2): 83-90 (1994) - 1993
- [j31]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) - 1992
- [j30]Ernest J. Cockayne, Denton E. Hewgill:
Improved Computation of Plane Steiner Minimal Trees. Algorithmica 7(2&3): 219-229 (1992) - 1991
- [j29]Ernest J. Cockayne, Odile Favaron, Hao Li, Gary MacGillivray:
The product of the independent domination numbers of a graph and its complement. Discret. Math. 90(3): 313-317 (1991) - 1990
- [j28]Ernest J. Cockayne:
Chessboard domination problems. Discret. Math. 86(1-3): 13-20 (1990) - [j27]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
- [j26]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) - [j25]Richard C. Brewster, Ernest J. Cockayne, Christina M. Mynhardt:
Irredundant ramsey numbers for graphs. J. Graph Theory 13(3): 283-290 (1989) - 1988
- [j24]Ernest J. Cockayne, Stephen T. Hedetniemi, Renu C. Laskar:
Gallai theorems for graphs, hypergraphs, and set systems. Discret. Math. 72(1-3): 35-47 (1988) - [j23]Ernest J. Cockayne, P. H. Spencer:
On the independent queens covering problem. Graphs Comb. 4(1): 101-110 (1988) - 1986
- [j22]Ernest J. Cockayne, B. Gamble, F. Bruce Shepherd:
Domination parameters for the bishops graph. Discret. Math. 58(3): 221-227 (1986) - [j21]Ernest J. Cockayne, Denton E. Hewgill:
Exact Computation of Steiner Minimal Trees in the Plane. Inf. Process. Lett. 22(3): 151-156 (1986) - [j20]Ernest J. Cockayne, Stephen T. Hedetniemi:
On the diagonal queens domination problem. J. Comb. Theory A 42(1): 137-139 (1986) - 1985
- [j19]Ernest J. Cockayne, B. Gamble, F. Bruce Shepherd:
An upper bound for the k-domination number of a graph. J. Graph Theory 9(4): 533-534 (1985) - 1984
- [j18]Béla Bollobás, Ernest J. Cockayne:
The irredundance number and maximum degree of a graph. Discret. Math. 49(2): 197-199 (1984) - [j17]Béla Bollobás, Ernest J. Cockayne, Fang Zu Yao:
Rotation numbers for unions of circuits. J. Graph Theory 8(1): 69-81 (1984) - 1982
- [j16]Ernest J. Cockayne, Andrew G. Thomason:
Ordered colourings of graphs. J. Comb. Theory B 32(3): 286-292 (1982) - [j15]Béla Bollobás, Ernest J. Cockayne:
More rotation numbers for complete bipartite graphs. J. Graph Theory 6(4): 403-411 (1982) - 1981
- [j14]Ernest J. Cockayne, Odile Favaron, C. Payan, Andrew G. Thomason:
Contributions to the theory of domination, independence and irredundance in graphs. Discret. Math. 33(3): 249-258 (1981) - [j13]Peter J. Slater, Ernest J. Cockayne, Stephen T. Hedetniemi:
Information Dissemination in Trees. SIAM J. Comput. 10(4): 692-701 (1981) - 1980
- [j12]Ernest J. Cockayne, R. M. Dawes, Stephen T. Hedetniemi:
Total domination in graphs. Networks 10(3): 211-219 (1980)
1970 – 1979
- 1979
- [j11]I. J. Holyer, Ernest J. Cockayne:
On the sum of cardinalities of extremum maximal independent sets. Discret. Math. 26(3): 243-246 (1979) - [j10]Ernest J. Cockayne, Frank Ruskey, Andrew G. Thomason:
An Algorithm for the Most Economic Link Addition in a Tree Communication Network. Inf. Process. Lett. 9(4): 171-175 (1979) - [j9]Sandra L. Mitchell, Ernest J. Cockayne, Stephen T. Hedetniemi:
Linear Algorithms on Recursive Representations of Trees. J. Comput. Syst. Sci. 18(1): 76-85 (1979) - [j8]Ernest J. Cockayne, Stephen T. Hedetniemi, Peter J. Slater:
Matchings and transversals in hypergraphs, domination and independence-in trees. J. Comb. Theory B 26(1): 78-80 (1979) - [j7]Béla Bollobás, Ernest J. Cockayne:
Graph-theoretic parameters concerning domination, independence, and irredundance. J. Graph Theory 3(3): 241-249 (1979) - 1978
- [j6]Ernest J. Cockayne, Bert L. Hartnell, Stephen T. Hedetniemi:
A linear algorithm for disjoint matchings in trees. Discret. Math. 21(2): 129-136 (1978) - [j5]Ernest J. Cockayne, Stephen T. Hedetniemi:
Disjoint cliques in regular graphs of degree seven and eight. J. Comb. Theory B 24(2): 233-237 (1978) - 1977
- [j4]Ernest J. Cockayne, Bert L. Hartnell:
Edge partitions of complete multipartite graphs into equal length circuits. J. Comb. Theory B 23(2-3): 174-183 (1977) - [j3]Ernest J. Cockayne, Stephen T. Hedetniemi:
Towards a theory of domination in graphs. Networks 7(3): 247-261 (1977) - 1976
- [j2]Ernest J. Cockayne, Stephen T. Hedetniemi:
Disjoint independent dominating sets in graphs. Discret. Math. 15(3): 213-222 (1976) - 1975
- [j1]Ernest J. Cockayne, Seymour E. Goodman, Stephen T. Hedetniemi:
A Linear Algorithm for the Domination Number of a Tree. Inf. Process. Lett. 4(2): 41-44 (1975)
Coauthor Index
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