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ALGORITHMICA
2002
159views more  ALGORITHMICA 2002»
15 years 6 months ago
Algorithmic Aspects of Acyclic Edge Colorings
A proper coloring of the edges of a graph G is called acyclic if there is no 2-colored cycle in G. The acyclic edge chromatic number of G, denoted by a (G), is the least number of...
Noga Alon, Ayal Zaks
GC
2002
Springer
15 years 6 months ago
Ramsey-Type Results for Unions of Comparability Graphs
Given a graph on n vertices which is the union of two comparability graphs on the same vertex set, it always contains a clique or independent set of size n 1 3 . On the other hand...
Adrian Dumitrescu, Géza Tóth
DM
2002
107views more  DM 2002»
15 years 6 months ago
Edge clique graphs and some classes of chordal graphs
The edge clique graph of a graph G is one having as vertices the edges of G, two vertices being adjacent if the corresponding edges of G belong to a common clique. We describe cha...
Márcia R. Cerioli, Jayme Luiz Szwarcfiter
ARSCOM
2006
140views more  ARSCOM 2006»
15 years 6 months ago
Expansion Properties Of Levi Graphs
ABSTRACT. The Levi graph of a balanced incomplete block design is the bipartite graph whose vertices are the points and blocks of the design, with each block adjacent to those poin...
Dominic Lanphier, C. Miller, Jason Rosenhouse, A. ...
ARSCOM
2005
94views more  ARSCOM 2005»
15 years 6 months ago
Isometrically Embedded Graphs
Can an arbitrary graph be embedded in Euclidean space so that the isometry group of its vertex set is precisely its graph automorphism group? This paper gives an affirmative answe...
Debra L. Boutin