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JGT
2010
89views more  JGT 2010»
14 years 8 months ago
Non-rainbow colorings of 3-, 4- and 5-connected plane graphs
We study vertex-colorings of plane graphs that do not contain a rainbow face, i.e., a face with vertices of mutually distinct colors. If G is a 3-connected plane graph with n vert...
Zdenek Dvorak, Daniel Král', Riste Skrekovs...
ALGORITHMICA
2010
137views more  ALGORITHMICA 2010»
14 years 8 months ago
Deciding k-Colorability of P5-Free Graphs in Polynomial Time
The problem of computing the chromatic number of a P5-free graph (a graph which contains no path on 5 vertices as an induced subgraph) is known to be NP-hard. However, we show tha...
Chính T. Hoàng, Marcin Kaminski, Vad...
COMBINATORICS
1999
93views more  COMBINATORICS 1999»
14 years 9 months ago
Induced Complete h-partite Graphs in Dense Clique-less Graphs
It is proven that for every fixed h, a and b, a graph with n vertices and minimum degree at least h-1 h n, which contains no copy of Kb (the complete graph with b vertices), conta...
Eldar Fischer
CCCG
2008
14 years 11 months ago
Maximal Covering by Two Isothetic Unit Squares
Let P be the point set in two dimensional plane. In this paper, we consider the problem of locating two isothetic unit squares such that together they cover maximum number of poin...
Priya Ranjan Sinha Mahapatra, Partha P. Goswami, S...
COMBINATORICS
2007
77views more  COMBINATORICS 2007»
14 years 10 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...