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» On the Grundy Number of a Graph
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CIC
2004
107views Communications» more  CIC 2004»
15 years 7 months ago
Hexagonal and Pruned Torus Networks as Cayley Graphs
Hexagonal mesh and torus, as well as honeycomb and certain other pruned torus networks, are known to belong to the class of Cayley graphs which are node-symmetric and possess othe...
Wenjun Xiao, Behrooz Parhami
SLP
1997
89views more  SLP 1997»
15 years 7 months ago
Program Analysis via Graph Reachability
This paper describes how a number of program-analysis problems can be solved by transforming them to graph-reachability problems. Some of the program-analysis problems that are am...
Thomas W. Reps
EJC
2008
15 years 6 months ago
Coloring squares of planar graphs with girth six
Wang and Lih conjectured that for every g 5, there exists a number M(g) such that the square of a planar graph G of girth at least g and maximum degree M(g) is (+1)-colorable. ...
Zdenek Dvorak, Daniel Král, Pavel Nejedl&ya...
COMBINATORICS
2006
116views more  COMBINATORICS 2006»
15 years 6 months ago
Neighbour-Distinguishing Edge Colourings of Random Regular Graphs
A proper edge colouring of a graph is neighbour-distinguishing if for all pairs of adjacent vertices v, w the set of colours appearing on the edges incident with v is not equal to...
Catherine S. Greenhill, Andrzej Rucinski
COMBINATORICS
2004
94views more  COMBINATORICS 2004»
15 years 6 months ago
Short Cycles in Random Regular Graphs
Consider random regular graphs of order n and degree d = d(n) 3. Let g = g(n) 3 satisfy (d-1)2g-1 = o(n). Then the number of cycles of lengths up to g have a distribution simila...
Brendan D. McKay, Nicholas C. Wormald, Beata Wysoc...