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» NZ-flows in strong products of graphs
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JGT
2010
57views more  JGT 2010»
13 years 3 months ago
NZ-flows in strong products of graphs
: We prove that the strong product G1 G2 of G1 and G2 is Z3-flow contractible if and only if G1 G2 is not T K2, where T is a tree (we call T K2 a K4-tree). It follows that G1 G2 ad...
Wilfried Imrich, Iztok Peterin, Simon Spacapan, Cu...
CPC
2007
76views more  CPC 2007»
13 years 4 months ago
Strong Isometric Dimension, Biclique Coverings, and Sperner's Theorem
The strong isometric dimension of a graph G is the least number k such that G isometrically embeds into the strong product of k paths. Using Sperner’s Theorem, the strong isomet...
Dalibor Froncek, Janja Jerebic, Sandi Klavzar, Pet...
CORR
2006
Springer
128views Education» more  CORR 2006»
13 years 4 months ago
The Shannon capacity of a graph and the independence numbers of its powers
The independence numbers of powers of graphs have been long studied, under several definitions of graph products, and in particular, under the strong graph product. We show that t...
Noga Alon, Eyal Lubetzky
APPML
2004
79views more  APPML 2004»
13 years 4 months ago
Distance regularity of compositions of graphs
We study preservation of distance regularity when taking strong sums and strong products of distance-regular graphs. MSC 2000 Classification: 05C12
Dragan Stevanovic