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JCT
2002
93views more  JCT 2002»
15 years 3 months ago
Coloring Locally Bipartite Graphs on Surfaces
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
Bojan Mohar, Paul D. Seymour
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
15 years 2 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
MOBIHOC
2005
ACM
16 years 3 months ago
Localization and routing in sensor networks by local angle information
Location information is very useful in the design of sensor network infrastructures. In this paper, we study the anchor-free 2D localization problem by using local angle measureme...
Jehoshua Bruck, Jie Gao, Anxiao Jiang
ICALP
2011
Springer
14 years 7 months ago
Improved Approximation for the Directed Spanner Problem
We present an O( √ n log n)-approximation algorithm for the problem of finding the sparsest spanner of a given directed graph G on n vertices. A spanner of a graph is a sparse ...
Piotr Berman, Arnab Bhattacharyya, Konstantin Maka...
FOCS
2009
IEEE
15 years 11 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi