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JCO
2006
128views more  JCO 2006»
14 years 9 months ago
A combinatorial theorem on labeling squares with points and its application
In this paper, we present a combinatorial theorem on labeling disjoint axis-parallel squares of edge length two using points. Given an arbitrary set of disjoint axis-parallel squar...
Binhai Zhu, Minghui Jiang
CP
2008
Springer
14 years 11 months ago
Perfect Constraints Are Tractable
By using recent results from graph theory, including the Strong Perfect Graph Theorem, we obtain a unifying framework for a number of tractable classes of constraint problems. Thes...
András Z. Salamon, Peter G. Jeavons
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
14 years 9 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski
95
Voted
JGT
2007
85views more  JGT 2007»
14 years 9 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
IPCO
1998
125views Optimization» more  IPCO 1998»
14 years 10 months ago
A Characterization of Weakly Bipartite Graphs
We give a proof of Guenin's theorem characterizing weakly bipartite graphs by not having an odd-K5 minor. The proof curtails the technical and case-checking parts of Guenin�...
Bertrand Guenin