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» Compressing Bounded Degree Graphs
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DM
2006
77views more  DM 2006»
15 years 1 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 7 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
15 years 2 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...
SODA
2012
ACM
170views Algorithms» more  SODA 2012»
13 years 3 months 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»
15 years 1 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