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» The chromatic covering number of a graph
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COMBINATORICS
2007
77views more  COMBINATORICS 2007»
13 years 7 months ago
Enumeration and Asymptotic Properties of Unlabeled Outerplanar Graphs
We determine the exact and asymptotic number of unlabeled outerplanar graphs. The exact number gn of unlabeled outerplanar graphs on n vertices can be computed in polynomial time,...
Manuel Bodirsky, Éric Fusy, Mihyun Kang, St...
CORR
2008
Springer
133views Education» more  CORR 2008»
13 years 7 months ago
A simple local 3-approximation algorithm for vertex cover
We present a local algorithm (constant-time distributed algorithm) for finding a 3-approximate vertex cover in bounded-degree graphs. The algorithm is deterministic, and no auxili...
Valentin Polishchuk, Jukka Suomela
DM
2002
186views more  DM 2002»
13 years 7 months ago
Coloring Eulerian triangulations of the projective plane
A simple characterization of the 3, 4, or 5-colorable Eulerian triangulations of the projective plane is given. Key words: Projective plane, triangulation, coloring, Eulerian grap...
Bojan Mohar
ICIP
2002
IEEE
14 years 9 months ago
On the non-optimality of four color coding of image partitions
Recent interest in region based image coding has given rise to graph coloring based partition encoding methods. These methods are based on the four color theorem for planar graphs...
Sameer Agarwal, Serge Belongie
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
13 years 8 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...