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INFORMATICALT
2007
80views more  INFORMATICALT 2007»
13 years 7 months ago
Recognition Algorithm for Diamond-Free Graphs
In this paper we recall the notion of weakly decomposition, we recall some necessary and sufficient conditions for a graph to admit such a decomposition, we introduce the recognit...
Mihai Talmaciu, Elena Nechita
IPL
2007
130views more  IPL 2007»
13 years 7 months ago
Linear structure of bipartite permutation graphs and the longest path problem
The class of bipartite permutation graphs is the intersection of two well known graph classes: bipartite graphs and permutation graphs. A complete bipartite decomposition of a bip...
Ryuhei Uehara, Gabriel Valiente
EJC
2006
13 years 7 months ago
Invariant subspaces, duality, and covers of the Petersen graph
A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise ...
Aleksander Malnic, Primoz Potocnik
COMBINATORICS
2002
116views more  COMBINATORICS 2002»
13 years 7 months ago
Toida's Conjecture is True
Let S be a subset of the units in Zn. Let be a circulant graph of order n (a Cayley graph of Zn) such that if ij E(), then i - j (mod n) S. Toida conjectured that if is another...
Edward Dobson, Joy Morris
EJC
2008
13 years 7 months ago
The distinguishing number of Cartesian products of complete graphs
The distinguishing number D(G) of a graph G is the least integer d such that G has a labeling with d labels that is preserved only by a trivial automorphism. We prove that Cartesi...
Wilfried Imrich, Janja Jerebic, Sandi Klavzar