Peter J. Slater

According to our database1, Peter J. Slater authored at least 79 papers between 1975 and 2022.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of two.

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Bibliography

2022
Graphical parameters for classes of tumbling block graphs.
CoRR, 2022

2017
Open-independent, open-locating-dominating sets.
Electron. J. Graph Theory Appl., 2017

Any Tree with m edges can be embedded in a Graceful Tree with less than 4m edges and in a graceful planar graph.
Discret. Math., 2017

2015
Fault tolerant detectors for distinquishing sets in graphs.
Discuss. Math. Graph Theory, 2015

2014
Centroidal bases in graphs.
Networks, 2014

On open neighborhood locating-dominating in graphs.
Electron. J. Graph Theory Appl., 2014

A sharp lower bound for locating-dominating sets in trees.
Australas. J Comb., 2014

2013
Uniqueness of Vertex Magic Constants.
SIAM J. Discret. Math., 2013

2011
An Introduction to Closed/Open Neighborhood Sums: Minimax, Maximin, and Spread.
Math. Comput. Sci., 2011

Distance independence in graphs.
Discuss. Math. Graph Theory, 2011

Open neighborhood locating-dominating in trees.
Discret. Appl. Math., 2011

Open neighborhood locating-domination for infinite cylinders.
Proceedings of the 49th Annual Southeast Regional Conference, 2011

2010
On locating-domination in graphs.
Discuss. Math. Graph Theory, 2010

Open neighborhood locating dominating sets.
Australas. J Comb., 2010

2009
Liar's domination.
Networks, 2009

Liar's domination in graphs.
Discret. Math., 2009

2008
Queen's domination using border squares and (A, B)-restricted domination.
Discret. Math., 2008

2007
Efficient <i>(j, k)-</i>domination.
Discuss. Math. Graph Theory, 2007

Roman dominating influence parameters.
Discret. Math., 2007

2006
Competition-reachability of a graph.
Discret. Math., 2006

An introduction to proper-coupled-domination in graphs.
Proceedings of the 44st Annual Southeast Regional Conference, 2006

2005
Trees with Equal Domination and Paired-domination Numbers.
Ars Comb., 2005

An introduction to competition-reachability of a graph.
Proceedings of the 43nd Annual Southeast Regional Conference, 2005

2004
An Introduction to Maximum Sum Permutations of Graphs.
Ars Comb., 2004

2003
<i>H</i>-domination in graphs.
Discret. Math., 2003

Strong equality of domination parameters in trees.
Discret. Math., 2003

<i>H</i>-forming sets in graphs.
Discret. Math., 2003

Distance and connectivity measures in permutation graphs.
Discret. Math., 2003

Graphs of order <i>n</i> with locating-chromatic number <i>n</i>-1.
Discret. Math., 2003

2002
Fault-tolerant locating-dominating sets.
Discret. Math., 2002

2001
Average distance in colored graphs.
J. Graph Theory, 2001

1999
Center, median, and centroid subgraphs.
Networks, 1999

A survey of sequences of central subgraphs.
Networks, 1999

Bounds on the Total Redundance and Efficiency of a Graph.
Ars Comb., 1999

1998
Paired-domination in graphs.
Networks, 1998

Parity dimension for graphs.
Discret. Math., 1998

Closed neighborhood order dominating functions.
Australas. J Comb., 1998

Fundamentals of domination in graphs.
Pure and applied mathematics 208, Dekker, ISBN: 978-0-8247-0033-1, 1998

1996
Inequalities relating domination parameters in cubic graphs.
Discret. Math., 1996

Generalized domination and efficient domination in graphs.
Discret. Math., 1996

1995
The algorithmic complexity of signed domination in graphs.
Australas. J Comb., 1995

1994
A Recurrence Template for Several Parameters in Series-parallel Graphs.
Discret. Appl. Math., 1994

Three-valued k-neighborhood domination in graphs.
Australas. J Comb., 1994

1993
On uniformly optimally reliable graphs for pair-connected reliability with vertex failures.
Networks, 1993

Efficient Edge Domination Problems in Graphs.
Inf. Process. Lett., 1993

The Optimal Unicyclic Graphs for Pair-Connected Reliability.
Discret. Appl. Math., 1993

1991
On the nonexistence of uniformly optimal graphs for pair-connected reliability.
Networks, 1991

Distinct distance sets in a graph.
Discret. Math., 1991

1990
On minimum dominating sets with minimum intersection.
Discret. Math., 1990

1987
Domination and location in acyclic graphs.
Networks, 1987

Convex labelings of trees.
J. Graph Theory, 1987

1986
On iterated clique graphs with increasing diameters.
J. Graph Theory, 1986

A Linear Algorithm for the Cutting Center of a Tree.
Inf. Process. Lett., 1986

On k-graceful, countably infinite graphs.
Discret. Math., 1986

1985
Packing a tree with a graph of the same size.
J. Graph Theory, 1985

A note on similar edges and edge-unique line graphs.
J. Comb. Theory, Ser. B, 1985

1983
On <i>k</i>-graceful, locally finite graphs.
J. Comb. Theory, Ser. B, 1983

Sequentially additive graphs.
Discret. Math., 1983

1982
Counterexamples to randić's conjecture on distance degree sequences for trees.
J. Graph Theory, 1982

A Linear Algorithm for the Number of Degree Constrained Subforests of a Tree.
Inf. Process. Lett., 1982

1981
Information Dissemination in Trees.
SIAM J. Comput., 1981

The <i>k</i>-nucleus of a graph.
Networks, 1981

On graphs containing a given graph as center.
J. Graph Theory, 1981

On Locating a Facility to Service Areas within a Network.
Oper. Res., 1981

On k-sequential and other numbered graphs.
Discret. Math., 1981

Accretion centers: A generalization of branch weight centroids.
Discret. Appl. Math., 1981

1980
Medians of arbitrary graphs.
J. Graph Theory, 1980

Conservative graphs.
J. Graph Theory, 1980

A Linear Algorithm for a Core of a Tree.
J. Algorithms, 1980

1979
Matchings and transversals in hypergraphs, domination and independence-in trees.
J. Comb. Theory, Ser. B, 1979

Path coverings of the vertices of a tree.
Discret. Math., 1979

1978
Centers to centroids in graphs.
J. Graph Theory, 1978

Soldering and point splitting.
J. Comb. Theory, Ser. B, 1978

A constructive characterization of trees with at least k disjoint maximum matchings.
J. Comb. Theory, Ser. B, 1978

On k-minimally n-edge-connected graphs.
Discret. Math., 1978

1977
On k-critical, n-connected graphs.
Discret. Math., 1977

1976
On the optional hamiltonian completion problem.
Networks, 1976

R-Domination in Graphs.
J. ACM, 1976

1975
Advances on the Hamiltonian Completion Problem.
J. ACM, 1975


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