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» On k-partitioning of Hamming Graphs
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ENDM
2007
100views more  ENDM 2007»
13 years 7 months ago
Distance Labelling Problems for Hypercubes and Hamming Graphs - A Survey
We survey recent results on a few distance labelling problems for hypercubes and Hamming graphs.
Sanming Zhou
GC
2008
Springer
13 years 7 months ago
On the Acyclic Chromatic Number of Hamming Graphs
An acyclic coloring of a graph G is a proper coloring of the vertex set of G such that G contains no bichromatic cycles. The acyclic chromatic number of a graph G is the minimum nu...
Robert E. Jamison, Gretchen L. Matthews
JSC
2010
132views more  JSC 2010»
13 years 5 months ago
Binary codes from the line graph of the n-cube
We examine designs and binary codes associated with the line graph of the n-cube Qn, i.e. the Hamming graph H(n, 2). We find the automorphism groups and the parameters of the cod...
W. Fish, Jennifer D. Key, E. Mwambene
18
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EJC
2010
13 years 7 months ago
A short proof of a theorem of Bang and Koolen
Let a graph be locally disjoint union of three copies of complete graphs Kq-1 and let be cospectral with the Hamming graph H(3, q). Bang and Koolen [Asian-Eur. J. Math. 1 (2008),...
A. Mohammadian, Behruz Tayfeh-Rezaie
EJC
2006
13 years 7 months ago
On the canonical metric representation, average distance, and partial Hamming graphs
Average distance of a graph is expressed in terms of its canonical metric representation. The equality can be modified to an inequality in such a way that it characterizes isometr...
Sandi Klavzar