Ernest J. Cockayne

According to our database, Ernest J. Cockayne authored at least 70 papers between 1975 and 2011.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of two.

2011

Broadcasts and domination in trees.

Ernest J. Cockayne, Sarada Herke, Christina M. Mynhardt

Discret. Math., 2011

2009

Claw-free graphs are not universal fixers.

Ernest J. Cockayne, Richard G. Gibson, Christina M. Mynhardt

Discret. Math., 2009

2008

Open irredundance and maximum degree in graphs.

Ernest J. Cockayne, Odile Favaron, Art S. Finbow, Christina M. Mynhardt

Discret. Math., 2008

2007

Irredundance, secure domination and maximum degree in trees.

Ernest J. Cockayne

Discret. Math., 2007

2006

A lower bound for the depression of trees.

Ernest J. Cockayne, Christina M. Mynhardt

Australas. J Comb., 2006

2005

Altitude of small complete and complete bipartite graphs.

Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt

Australas. J Comb., 2005

2004

Generalised irredundance in graphs: Nordhaus-Gaddum bounds.

Ernest J. Cockayne, Art Stephen Finbow

Discuss. Math. Graph Theory, 2004

On i^--ER-critical graphs.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt

Discret. Math., 2004

Roman domination in graphs.

Ernest J. Cockayne, Paul A. Dreyer Jr., Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi

Discret. Math., 2004

Total domination in Kr-covered graphs.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt

Ars Comb., 2004

2003

Vertices contained in all or in no minimum total dominating set of a tree.

Ernest J. Cockayne, Michael A. Henning, Christina M. Mynhardt

Discret. Math., 2003

Changing upper irredundance by edge addition.

Ernest J. Cockayne, Odile Favaron, Wayne Goddard, Paul J. P. Grobler, Christina M. Mynhardt

Discret. Math., 2003

2001

Ramsey properties of generalised irredundant sets in graphs.

Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech

Discret. Math., 2001

Generalised Ramsey Numbers with respect to Classes of Graphs.

Ernest J. Cockayne, Odile Favaron, Paul J. P. Grobler, Christina M. Mynhardt, Joël Puech

Ars Comb., 2001

Properties of Queens graphs and the irredundance number of Q₇.

Ernest J. Cockayne, Christina M. Mynhardt

Australas. J Comb., 2001

Queens graphs for chessboards on the torus.

Alewyn P. Burger, Christina M. Mynhardt, Ernest J. Cockayne

Australas. J Comb., 2001

2000

CO-irredundant Ramsey numbers for graphs.

Ernest J. Cockayne, Gary MacGillivray, Jill Simmons

J. Graph Theory, 2000

A characterization of (γ, <i>i</i>)-trees.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech

J. Graph Theory, 2000

On i-minus-Edge-Removal-critical graphs.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt

Electron. Notes Discret. Math., 2000

Extremal graphs for inequalities involving domination parameters.

Baogen Xu, Ernest J. Cockayne, Teresa W. Haynes, Stephen T. Hedetniemi, Zhou Shangchao

Discret. Math., 2000

Nordhaus-Gaddum results for CO-irredundance in graphs.

Ernest J. Cockayne, Devon McCrea, Christina M. Mynhardt

Discret. Math., 2000

Irredundance in the Queen's Graph.

Ernest J. Cockayne

Ars Comb., 2000

1999

On 1-dependent ramsey numbers for graphs.

Ernest J. Cockayne, Christina M. Mynhardt

Discuss. Math. Graph Theory, 1999

1998

An inequality chain of domination parameters for trees.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt, Joël Puech

Discuss. Math. Graph Theory, 1998

Irredundant and perfect neighbourhood sets in trees.

Ernest J. Cockayne, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Christina M. Mynhardt

Discret. Math., 1998

Packing, perfect neighbourhood, irredundant and R-annihilated sets in graphs.

Ernest J. Cockayne, Odile Favaron, Joël Puech, Christina M. Mynhardt

Australas. J Comb., 1998

1997

Domination and irredundance in cubic graphs.

Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1997

Using maximality and minimality conditions to construct inequality chains.

Ernest J. Cockayne, Johannes H. Hattingh, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Alice A. McRae

Discret. Math., 1997

Domination and irredundance in the queens' graph.

Alewyn P. Burger, Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1997

Irredundance and Maximum Degree in Graphs.

Ernest J. Cockayne, Christina M. Mynhardt

Comb. Probab. Comput., 1997

1996

Domination critical graphs with higher independent domination numbers.

S. Ao, Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt

J. Graph Theory, 1996

Universal maximal packing functions of graphs.

Ernest J. Cockayne, Odile Favaron, Christina M. Mynhardt

Discret. Math., 1996

On a generalization of signed dominating functions of graphs.

Ernest J. Cockayne, Christina M. Mynhardt

Ars Comb., 1996

1995

Total dominating functions in trees: Minimality and convexity.

Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu

J. Graph Theory, 1995

A characterisation of universal minimal total dominating functions in trees.

Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1995

On a Nordhaus-Gaddum type problem for independent domination.

Ernest J. Cockayne, Gerd Fricke, Christina M. Mynhardt

Discret. Math., 1995

Properties of minimal dominating functions of graphs.

Ernest J. Cockayne, Gerd Fricke, Stephen T. Hedetniemi, Christina M. Mynhardt

Ars Comb., 1995

1994

Universal minimal total dominating functions in graphs.

Ernest J. Cockayne, Christina M. Mynhardt, Bo Yu

Networks, 1994

Convexity of minimal dominating functions of trees - II.

Ernest J. Cockayne, Gary MacGillivray, Christina M. Mynhardt

Discret. Math., 1994

1993

The sequence of upper and lower domination, independence and irredundance numbers of a graph.

Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1993

1992

Improved Computation of Plane Steiner Minimal Trees.

Ernest J. Cockayne, Denton E. Hewgill

Algorithmica, 1992

1991

The product of the independent domination numbers of a graph and its complement.

Ernest J. Cockayne, Odile Favaron, Hao Li, Gary MacGillivray

Discret. Math., 1991

1990

Chessboard domination problems.

Ernest J. Cockayne

Discret. Math., 1990

On generalised minimal domination parameters for paths.

Béla Bollobás, Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1990

1989

Irredundant ramsey numbers for graphs.

Richard C. Brewster, Ernest J. Cockayne, Christina M. Mynhardt

J. Graph Theory, 1989

On the product of upper irredundance numbers of a graph and its complement.

Ernest J. Cockayne, Christina M. Mynhardt

Discret. Math., 1989

1988

On the independent queens covering problem.

Ernest J. Cockayne, P. H. Spencer

Graphs Comb., 1988

Gallai theorems for graphs, hypergraphs, and set systems.

Ernest J. Cockayne, Stephen T. Hedetniemi, Renu C. Laskar

Discret. Math., 1988

1986

On the diagonal queens domination problem.

Ernest J. Cockayne, Stephen T. Hedetniemi

J. Comb. Theory A, 1986

Exact Computation of Steiner Minimal Trees in the Plane.

Ernest J. Cockayne, Denton E. Hewgill

Inf. Process. Lett., 1986

Domination parameters for the bishops graph.

Ernest J. Cockayne, B. Gamble, F. Bruce Shepherd

Discret. Math., 1986

1985

An upper bound for the <i>k</i>-domination number of a graph.

Ernest J. Cockayne, B. Gamble, F. Bruce Shepherd

J. Graph Theory, 1985

1984

Rotation numbers for unions of circuits.

Béla Bollobás, Ernest J. Cockayne, Fang Zu Yao

J. Graph Theory, 1984

The irredundance number and maximum degree of a graph.

Béla Bollobás, Ernest J. Cockayne

Discret. Math., 1984

1982

More rotation numbers for complete bipartite graphs.

Béla Bollobás, Ernest J. Cockayne

J. Graph Theory, 1982

Ordered colourings of graphs.

Ernest J. Cockayne, Andrew G. Thomason

J. Comb. Theory B, 1982

1981

Information Dissemination in Trees.

Peter J. Slater, Ernest J. Cockayne, Stephen T. Hedetniemi

SIAM J. Comput., 1981

Contributions to the theory of domination, independence and irredundance in graphs.

Ernest J. Cockayne, Odile Favaron, C. Payan, Andrew G. Thomason

Discret. Math., 1981

1980

Total domination in graphs.

Ernest J. Cockayne, R. M. Dawes, Stephen T. Hedetniemi

Networks, 1980

1979

Graph-theoretic parameters concerning domination, independence, and irredundance.

Béla Bollobás, Ernest J. Cockayne

J. Graph Theory, 1979

Matchings and transversals in hypergraphs, domination and independence-in trees.

Ernest J. Cockayne, Stephen T. Hedetniemi, Peter J. Slater

J. Comb. Theory B, 1979

Linear Algorithms on Recursive Representations of Trees.

Sandra L. Mitchell, Ernest J. Cockayne, Stephen T. Hedetniemi

J. Comput. Syst. Sci., 1979

An Algorithm for the Most Economic Link Addition in a Tree Communication Network.

Ernest J. Cockayne, Frank Ruskey, Andrew G. Thomason

Inf. Process. Lett., 1979

On the sum of cardinalities of extremum maximal independent sets.

I. J. Holyer, Ernest J. Cockayne

Discret. Math., 1979

1978

Disjoint cliques in regular graphs of degree seven and eight.

Ernest J. Cockayne, Stephen T. Hedetniemi

J. Comb. Theory B, 1978

A linear algorithm for disjoint matchings in trees.

Ernest J. Cockayne, Bert L. Hartnell, Stephen T. Hedetniemi

Discret. Math., 1978

1977

Towards a theory of domination in graphs.

Ernest J. Cockayne, Stephen T. Hedetniemi

Networks, 1977

Edge partitions of complete multipartite graphs into equal length circuits.

Ernest J. Cockayne, Bert L. Hartnell

J. Comb. Theory B, 1977

1976

Disjoint independent dominating sets in graphs.

Ernest J. Cockayne, Stephen T. Hedetniemi

Discret. Math., 1976

1975

A Linear Algorithm for the Domination Number of a Tree.

Ernest J. Cockayne, Seymour E. Goodman, Stephen T. Hedetniemi

Inf. Process. Lett., 1975