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» The Alcuin Number of a Graph
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DAM
2011
13 years 3 months ago
Minimum sum set coloring of trees and line graphs of trees
In this paper, we study the Minimum Sum Set Coloring (MSSC) problem which consists in assigning a set of x(v) positive integers to each vertex v of a graph so that the intersectio...
Flavia Bonomo, Guillermo Durán, Javier Mare...
JCT
2011
83views more  JCT 2011»
13 years 3 months ago
Sandpile groups and spanning trees of directed line graphs
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...
Lionel Levine
COMPGEOM
2003
ACM
14 years 1 months ago
Loops in reeb graphs of 2-manifolds
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...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...
JCT
2010
112views more  JCT 2010»
13 years 6 months ago
More on block intersection polynomials and new applications to graphs and block designs
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 ...
Leonard H. Soicher
ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
14 years 2 months ago
On Sum Coloring of Graphs with Parallel Genetic Algorithms
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...
Zbigniew Kokosinski, Krzysztof Kwarciany