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» Distance magic circulant graphs
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DAM
2011
13 years 2 months ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
ITCC
2003
IEEE
14 years 21 days ago
Distance-Hereditary Embeddings of Circulant Graphs
In this paper we present a distance-hereditary decomposition of optimal chordal rings of 2k2 nodes into a set of rings of 2k nodes, where k is the diameter. All the rings belongin...
Carmen Martínez, Ramón Beivide, Jaim...
DCC
2011
IEEE
13 years 2 months ago
Directed graph representation of half-rate additive codes over GF(4)
We show that (n, 2n ) additive codes over GF(4) can be represented as directed graphs. This generalizes earlier results on self-dual additive codes over GF(4), which correspond to ...
Lars Eirik Danielsen, Matthew G. Parker
PDP
2005
IEEE
14 years 1 months ago
Practicable Layouts for Optimal Circulant Graphs
Circulant graphs have been deeply studied in technical literature. Midimew networks are a class of distancerelated optimal circulant graphs of degree four which have applications ...
Enrique Vallejo, Ramón Beivide, Carmen Mart...
JGT
2010
103views more  JGT 2010»
13 years 5 months ago
Proof of a conjecture on fractional Ramsey numbers
: Jacobson, Levin, and Scheinerman introduced the fractional Ramsey function rf (a1,a2, ...,ak) as an extension of the classical definition for Ramsey numbers. They determined an e...
Jason Brown, Richard Hoshino