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» On the graph isomorphism problem
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DAM
2006
191views more  DAM 2006»
14 years 12 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
DM
2006
144views more  DM 2006»
14 years 12 months ago
On almost self-complementary graphs
A graph is called almost self-complementary if it is isomorphic to one of its almost complements Xc - I, where Xc denotes the complement of X and I a perfect matching (1-factor) i...
Primoz Potocnik, Mateja Sajna
CPM
2004
Springer
120views Combinatorics» more  CPM 2004»
15 years 5 months ago
Polynomial-Time Algorithms for the Ordered Maximum Agreement Subtree Problem
For a set of rooted, unordered, distinctly leaf-labeled trees, the NP-hard maximum agreement subtree problem (MAST) asks for a tree contained (up to isomorphism or homeomorphism) i...
Anders Dessmark, Jesper Jansson, Andrzej Lingas, E...
WG
2005
Springer
15 years 5 months ago
Hypertree Decompositions: Structure, Algorithms, and Applications
We review the concepts of hypertree decomposition and hypertree width from a graph theoretical perspective and report on a number of recent results related to these concepts. We al...
Georg Gottlob, Martin Grohe, Nysret Musliu, Marko ...
COMBINATORICS
2006
89views more  COMBINATORICS 2006»
14 years 12 months ago
Rainbow H-factors
An H-factor of a graph G is a spanning subgraph of G whose connected components are isomorphic to H. Given a properly edge-colored graph G, a rainbow H-subgraph of G is an H-subgr...
Raphael Yuster