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» On perfectness of sums of graphs
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DAM
2011
13 years 2 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...
EJC
2010
13 years 7 months ago
Perfect matchings with restricted intersection in cubic graphs
A conjecture of G. Fan and A. Raspaud asserts that every bridgeless cubic graph contains three perfect matchings with empty intersection. We suggest a possible approach to problem...
Tomás Kaiser, André Raspaud
FOCS
2008
IEEE
14 years 1 months ago
Embeddings of Topological Graphs: Lossy Invariants, Linearization, and 2-Sums
We study the properties of embeddings, multicommodity flows, and sparse cuts in minor-closed families of graphs which are also closed under 2-sums; this includes planar graphs, g...
Amit Chakrabarti, Alexander Jaffe, James R. Lee, J...
ICDM
2006
IEEE
81views Data Mining» more  ICDM 2006»
14 years 1 months ago
Full Perfect Extension Pruning for Frequent Graph Mining
Mining graph databases for frequent subgraphs has recently developed into an area of intensive research. Its main goals are to reduce the execution time of the existing basic algo...
Christian Borgelt, Thorsten Meinl
JCT
2006
79views more  JCT 2006»
13 years 7 months ago
A class of perfectly contractile graphs
We consider the class A of graphs that contain no odd hole, no antihole, and no "prism" (a graph consisting of two disjoint triangles with three disjoint paths between th...
Frédéric Maffray, Nicolas Trotignon