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178
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JCT
2011
15 years 1 months ago
2011
Abstract. We generalize a theorem of Knuth relating the oriented spanning trees of a directed graph G and its directed line graph LG. The sandpile group is an abelian group associa...
173
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COMPGEOM
2003
ACM
15 years 11 months ago
2003
ACM
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
166
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SODA
2004
ACM
15 years 7 months ago
2004
ACM
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
181
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JCT
2010
15 years 4 months ago
2010
The concept of intersection numbers of order r for t-designs is generalized to graphs and to block designs which are not necessarily t-designs. These intersection numbers satisfy ...
142
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ICANNGA
2007
Springer
16 years 17 days ago
2007
Springer
Abstract. Chromatic number, chromatic sum and chromatic sum number are important graph coloring characteristics. The paper proves that a parallel metaheuristic like the parallel ge...