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» Compressing Bounded Degree Graphs
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DM
2006
77views more  DM 2006»
14 years 9 months ago
Strong edge-coloring of graphs with maximum degree 4 using 22 colors
In 1985, Erdos and Ne
Daniel W. Cranston
CSL
2009
Springer
15 years 4 months ago
Automatic Structures of Bounded Degree Revisited
Abstract. It it shown that the first-order theory of an automatic structure, whose Gaifman graph has bounded degree, is decidable in doubly exponential space (for injective automa...
Dietrich Kuske, Markus Lohrey
CCCG
2003
14 years 11 months ago
Degree Bounds for Constrained Pseudo-Triangulations
We introduce the concept of a constrained pointed pseudo-triangulation TG of a point set S with respect to a pointed planar straight line graph G = (S, E). For the case that G for...
Oswin Aichholzer, Michael Hoffmann, Bettina Speckm...
93
Voted
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 1 days ago
Compression via matroids: a randomized polynomial kernel for odd cycle transversal
The Odd Cycle Transversal problem (OCT) asks whether a given graph can be made bipartite by deleting at most k of its vertices. In a breakthrough result Reed, Smith, and Vetta (Op...
Stefan Kratsch, Magnus Wahlström
ALGORITHMICA
2004
153views more  ALGORITHMICA 2004»
14 years 9 months ago
Approximating the Degree-Bounded Minimum Diameter Spanning Tree Problem
We consider the problem of finding a minimum diameter spanning tree with maximum node degree B in a complete undirected edge-weighted graph. We provide an O( p logB n)-approximatio...
Jochen Könemann, Asaf Levin, Amitabh Sinha