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» (k, )-Distance-Hereditary Graphs
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135
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SODA
2004
ACM
93views Algorithms» more  SODA 2004»
15 years 4 months ago
Bipartite roots of graphs
Graph H is a root of graph G if there exists a positive integer k such that x and y are adjacent in G if and only if their distance in H is at most k. Motwani and Sudan [1994] prov...
Lap Chi Lau
124
Voted
ESA
2008
Springer
134views Algorithms» more  ESA 2008»
15 years 5 months ago
A Near-Tight Bound for the Online Steiner Tree Problem in Graphs of Bounded Asymmetry
The edge asymmetry of a directed, edge-weighted graph is defined as the maximum ratio of the weight of antiparallel edges in the graph, and can be used as a measure of the heterog...
Spyros Angelopoulos
121
Voted
CORR
2010
Springer
108views Education» more  CORR 2010»
14 years 10 months ago
Finding Cycles and Trees in Sublinear Time
We present sublinear-time (randomized) algorithms for finding simple cycles of length at least k 3 and tree-minors in bounded-degree graphs. The complexity of these algorithms is...
Artur Czumaj, Oded Goldreich, Dana Ron, C. Seshadh...
168
Voted
AAIM
2007
Springer
188views Algorithms» more  AAIM 2007»
15 years 9 months ago
Approximation Algorithms for the Graph Orientation Minimizing the Maximum Weighted Outdegree
Given an undirected graph G = (V, E) and a weight function w : E → Z+ , we consider the problem of orienting all edges in E so that the maximum weighted outdegree among all verti...
Yuichi Asahiro, Jesper Jansson, Eiji Miyano, Hirot...
COMBINATORICA
2006
69views more  COMBINATORICA 2006»
15 years 3 months ago
Distance Sequences In Locally Infinite Vertex-Transitive Digraphs
We prove that the out-distance sequence {f+ (k)} of a vertex-transitive digraph of finite or infinite degree satisfies f+ (k + 1) f+ (k)2 for k 1, where f+ (k) denotes the numbe...
Wesley Pegden