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» Homomorphism bounded classes of graphs
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CORR
2008
Springer
112views Education» more  CORR 2008»
14 years 11 months ago
Compact Labelings For Efficient First-Order Model-Checking
We consider graph properties that can be checked from labels, i.e., bit sequences, of logarithmic length attached to vertices. We prove that there exists such a labeling for check...
Bruno Courcelle, Cyril Gavoille, Mamadou Moustapha...
SWAT
1994
Springer
126views Algorithms» more  SWAT 1994»
15 years 3 months ago
Optimal Parametric Search on Graphs of Bounded Tree-Width
We give linear-time algorithms for a class of parametric search problems on weighted graphs of bounded tree-width. We also discuss the implications of our results to approximate p...
David Fernández-Baca, Giora Slutzki
DM
2002
97views more  DM 2002»
14 years 11 months ago
Resonance graphs of catacondensed even ring systems are median
Let G be a planar embedded 2-connected graph. Then the vertices of its resonance graph R(G) are the 1-factors of G, two 1-factors being adjacent whenever their symmetric differenc...
Sandi Klavzar, Petra Zigert, Gunnar Brinkmann
LICS
2007
IEEE
15 years 6 months ago
Locally Excluding a Minor
We introduce the concept of locally excluded minors. Graph classes locally excluding a minor are a common generalisation of the concept of excluded minor classes and of graph clas...
Anuj Dawar, Martin Grohe, Stephan Kreutzer
JGT
2007
85views more  JGT 2007»
14 years 11 months ago
Coloring quasi-line graphs
A graph G is a quasi-line graph if for every vertex v, the set of neighbors of v can be expressed as the union of two cliques. The class of quasi-line graphs is a proper superset ...
Maria Chudnovsky, Alexandra Ovetsky