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» (k, )-Distance-Hereditary Graphs
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DM
2008
95views more  DM 2008»
14 years 10 months ago
General neighbour-distinguishing index of a graph
It is proved that edges of a graph G with no component K2 can be coloured using at most 2 log2 (G) + 1 colours so that any two adjacent vertices have distinct sets of colours of t...
Ervin Györi, Mirko Hornák, Cory Palmer...
ORDER
2008
91views more  ORDER 2008»
14 years 10 months ago
Construction of Some Uncountable 2-Arc-Transitive Bipartite Graphs
We give various constructions of uncountable arc-transitive bipartite graphs employing techniques from partial orders, starting with the cyclefree case, but generalizing to cases ...
Manfred Droste, Robert Gray, John K. Truss
PPL
2008
94views more  PPL 2008»
14 years 10 months ago
Self-Stabilizing Graph Protocols
We provide self-stabilizing algorithms to obtain and maintain a maximal matching, maximal independent set or minimal dominating set in a given system graph. They converge in linea...
Wayne Goddard, Stephen T. Hedetniemi, David Pokras...
DM
2002
102views more  DM 2002»
14 years 9 months ago
Totally magic graphs
A total labeling of a graph with v vertices and e edges is defined as a one-to-one map taking the vertices and edges onto the integers 1, 2,
Geoffrey Exoo, Alan C. H. Ling, John P. McSorley, ...
CATS
2006
14 years 11 months ago
Boolean equation solving as graph traversal
We present a new method for finding closed forms of recursive Boolean function definitions. Traditionally, these closed forms are found by iteratively approximating until a fixed ...
Brian Herlihy, Peter Schachte, Harald Sønde...