2009 |
44 | EE | Ernest J. Cockayne,
R. G. Gibson,
Christina M. Mynhardt:
Claw-free graphs are not universal fixers.
Discrete Mathematics 309(1): 128-133 (2009) |
2008 |
43 | EE | Ernest J. Cockayne,
Odile Favaron,
S. Finbow,
Christina M. Mynhardt:
Open irredundance and maximum degree in graphs.
Discrete Mathematics 308(23): 5358-5375 (2008) |
2007 |
42 | EE | Ernest J. Cockayne:
Irredundance, secure domination and maximum degree in trees.
Discrete Mathematics 307(1): 12-17 (2007) |
2004 |
41 | | Ernest J. Cockayne,
Odile Favaron,
Christina M. Mynhardt:
Total domination in Kr-covered graphs.
Ars Comb. 71: (2004) |
40 | EE | Ernest J. Cockayne,
Odile Favaron,
Christina M. Mynhardt:
On i--ER-critical graphs.
Discrete Mathematics 276(1-3): 111-125 (2004) |
39 | EE | Ernest J. Cockayne,
Paul A. Dreyer Jr.,
Sandra Mitchell Hedetniemi,
Stephen T. Hedetniemi:
Roman domination in graphs.
Discrete Mathematics 278(1-3): 11-22 (2004) |
2003 |
38 | EE | Ernest J. Cockayne,
Michael A. Henning,
Christina M. Mynhardt:
Vertices contained in all or in no minimum total dominating set of a tree.
Discrete Mathematics 260(1-3): 37-44 (2003) |
37 | EE | Ernest J. Cockayne,
Odile Favaron,
Wayne Goddard,
Paul J. P. Grobler,
Christina M. Mynhardt:
Changing upper irredundance by edge addition.
Discrete Mathematics 266(1-3): 185-193 (2003) |
2001 |
36 | | 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) |
35 | EE | Ernest J. Cockayne,
Odile Favaron,
Paul J. P. Grobler,
Christina M. Mynhardt,
Joël Puech:
Ramsey properties of generalised irredundant sets in graphs.
Discrete Mathematics 231(1-3): 123-134 (2001) |
2000 |
34 | | Ernest J. Cockayne:
Irredundance in the Queen's Graph.
Ars Comb. 55: (2000) |
33 | EE | Ernest J. Cockayne,
Devon McCrea,
Christina M. Mynhardt:
Nordhaus-Gaddum results for CO-irredundance in graphs.
Discrete Mathematics 211: 209-215 (2000) |
32 | EE | Baogen Xu,
Ernest J. Cockayne,
Teresa W. Haynes,
Stephen T. Hedetniemi,
Zhou Shangchao:
Extremal graphs for inequalities involving domination parameters.
Discrete Mathematics 216(1-3): 1-10 (2000) |
31 | EE | Ernest J. Cockayne,
Odile Favaron,
Christina M. Mynhardt:
On i-minus-Edge-Removal-critical graphs.
Electronic Notes in Discrete Mathematics 5: 64-66 (2000) |
1998 |
30 | EE | Ernest J. Cockayne,
Sandra Mitchell Hedetniemi,
Stephen T. Hedetniemi,
Christina M. Mynhardt:
Irredundant and perfect neighbourhood sets in trees.
Discrete Mathematics 188(1-3): 253-260 (1998) |
1997 |
29 | | Ernest J. Cockayne,
Christina M. Mynhardt:
Irredundance and Maximum Degree in Graphs.
Combinatorics, Probability & Computing 6(2): 153-157 (1997) |
28 | EE | Alewyn P. Burger,
Ernest J. Cockayne,
Christina M. Mynhardt:
Domination and irredundance in the queens' graph.
Discrete Mathematics 163(1-3): 47-66 (1997) |
27 | EE | Ernest J. Cockayne,
Christina M. Mynhardt:
Domination and irredundance in cubic graphs.
Discrete Mathematics 167-168: 205-214 (1997) |
26 | EE | Ernest J. Cockayne,
Johannes H. Hattingh,
Sandra Mitchell Hedetniemi,
Stephen T. Hedetniemi,
Alice A. McRae:
Using maximality and minimality conditions to construct inequality chains.
Discrete Mathematics 176(1-3): 43-61 (1997) |
1996 |
25 | | Ernest J. Cockayne,
Christina M. Mynhardt:
On a generalization of signed dominating functions of graphs.
Ars Comb. 43: (1996) |
24 | EE | Ernest J. Cockayne,
Odile Favaron,
Christina M. Mynhardt:
Universal maximal packing functions of graphs.
Discrete Mathematics 159(1-3): 57-68 (1996) |
1995 |
23 | EE | Ernest J. Cockayne,
Gerd Fricke,
Christina M. Mynhardt:
On a Nordhaus-Gaddum type problem for independent domination.
Discrete Mathematics 138(1-3): 199-205 (1995) |
22 | EE | Ernest J. Cockayne,
Christina M. Mynhardt:
A characterisation of universal minimal total dominating functions in trees.
Discrete Mathematics 141(1-3): 75-84 (1995) |
1994 |
21 | EE | Ernest J. Cockayne,
Gary MacGillivray,
Christina M. Mynhardt:
Convexity of minimal dominating functions of trees - II.
Discrete Mathematics 125(1-3): 137-146 (1994) |
1993 |
20 | EE | Ernest J. Cockayne,
Christina M. Mynhardt:
The sequence of upper and lower domination, independence and irredundance numbers of a graph.
Discrete Mathematics 122(1-3): 89-102 (1993) |
1992 |
19 | | Ernest J. Cockayne,
Denton E. Hewgill:
Improved Computation of Plane Steiner Minimal Trees.
Algorithmica 7(2&3): 219-229 (1992) |
1991 |
18 | EE | Ernest J. Cockayne,
Odile Favaron,
Hao Li,
Gary MacGillivray:
The product of the independent domination numbers of a graph and its complement.
Discrete Mathematics 90(3): 313-317 (1991) |
1990 |
17 | EE | Ernest J. Cockayne:
Chessboard domination problems.
Discrete Mathematics 86(1-3): 13-20 (1990) |
16 | EE | Béla Bollobás,
Ernest J. Cockayne,
Christina M. Mynhardt:
On generalised minimal domination parameters for paths.
Discrete Mathematics 86(1-3): 89-97 (1990) |
1989 |
15 | EE | Ernest J. Cockayne,
Christina M. Mynhardt:
On the product of upper irredundance numbers of a graph and its complement.
Discrete Mathematics 76(2): 117-121 (1989) |
1988 |
14 | EE | Ernest J. Cockayne,
Stephen T. Hedetniemi,
Renu Laskar:
Gallai theorems for graphs, hypergraphs, and set systems.
Discrete Mathematics 72(1-3): 35-47 (1988) |
1986 |
13 | EE | Ernest J. Cockayne,
B. Gamble,
B. Shepherd:
Domination parameters for the bishops graph.
Discrete Mathematics 58(3): 221-227 (1986) |
12 | | Ernest J. Cockayne,
Denton E. Hewgill:
Exact Computation of Steiner Minimal Trees in the Plane.
Inf. Process. Lett. 22(3): 151-156 (1986) |
11 | EE | Ernest J. Cockayne,
Stephen T. Hedetniemi:
On the diagonal queens domination problem.
J. Comb. Theory, Ser. A 42(1): 137-139 (1986) |
1984 |
10 | EE | Béla Bollobás,
Ernest J. Cockayne:
The irredundance number and maximum degree of a graph.
Discrete Mathematics 49(2): 197-199 (1984) |
1982 |
9 | EE | Ernest J. Cockayne,
A. G. Thomason:
Ordered colourings of graphs.
J. Comb. Theory, Ser. B 32(3): 286-292 (1982) |
1981 |
8 | EE | Ernest J. Cockayne,
Odile Favaron,
C. Payan,
A. G. Thomason:
Contributions to the theory of domination, independence and irredundance in graphs.
Discrete Mathematics 33(3): 249-258 (1981) |
7 | | Peter J. Slater,
Ernest J. Cockayne,
Stephen T. Hedetniemi:
Information Dissemination in Trees.
SIAM J. Comput. 10(4): 692-701 (1981) |
1979 |
6 | | Ernest J. Cockayne,
Frank Ruskey,
A. G. Thomason:
An Algorithm for the Most Economic Link Addition in a Tree Communication Network.
Inf. Process. Lett. 9(4): 171-175 (1979) |
5 | EE | Ernest J. Cockayne,
Stephen T. Hedetniemi,
Peter J. Slater:
Matchings and transversals in hypergraphs, domination and independence-in trees.
J. Comb. Theory, Ser. B 26(1): 78-80 (1979) |
4 | | 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) |
1978 |
3 | EE | Ernest J. Cockayne,
Stephen T. Hedetniemi:
Disjoint cliques in regular graphs of degree seven and eight.
J. Comb. Theory, Ser. B 24(2): 233-237 (1978) |
1977 |
2 | EE | Ernest J. Cockayne,
Bert Hartnell:
Edge partitions of complete multipartite graphs into equal length circuits.
J. Comb. Theory, Ser. B 23(2-3): 174-183 (1977) |
1975 |
1 | | Ernest J. Cockayne,
S. E. Goodman,
Stephen T. Hedetniemi:
A Linear Algorithm for the Domination Number of a Tree.
Inf. Process. Lett. 4(2): 41-44 (1975) |