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» On the Hardness of Graph Isomorphism
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APPROX
2011
Springer
242views Algorithms» more  APPROX 2011»
12 years 8 months ago
New Tools for Graph Coloring
How to color 3 colorable graphs with few colors is a problem of longstanding interest. The best polynomial-time algorithm uses n0.2072 colors. There are no indications that colori...
Sanjeev Arora, Rong Ge
CORR
2012
Springer
228views Education» more  CORR 2012»
12 years 4 months ago
Faster Approximate Distance Queries and Compact Routing in Sparse Graphs
A distance oracle is a compact representation of the shortest distance matrix of a graph. It can be queried to retrieve approximate distances and corresponding paths between any p...
Rachit Agarwal, Brighten Godfrey, Sariel Har-Peled
CSL
2009
Springer
14 years 3 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
SIAMCOMP
2010
135views more  SIAMCOMP 2010»
13 years 3 months ago
Intractability of Clique-Width Parameterizations
We show that Edge Dominating Set, Hamiltonian Cycle, and Graph Coloring are W[1]-hard parameterized by clique-width. It was an open problem, explicitly mentioned in several papers,...
Fedor V. Fomin, Petr A. Golovach, Daniel Lokshtano...
SIGMOD
2010
ACM
223views Database» more  SIGMOD 2010»
14 years 1 months ago
Finding maximal cliques in massive networks by H*-graph
Maximal clique enumeration (MCE) is a fundamental problem in graph theory and has important applications in many areas such as social network analysis and bioinformatics. The prob...
James Cheng, Yiping Ke, Ada Wai-Chee Fu, Jeffrey X...