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» On the Hardness of Graph Isomorphism
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LICS
2010
IEEE
13 years 6 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe
SIGCOMM
2010
ACM
13 years 8 months ago
Generic and automatic address configuration for data center networks
Data center networks encode locality and topology information into their server and switch addresses for performance and routing purposes. For this reason, the traditional address...
Kai Chen, Chuanxiong Guo, Haitao Wu, Jing Yuan, Zh...
CORR
2007
Springer
69views Education» more  CORR 2007»
13 years 8 months ago
Lossless Representation of Graphs using Distributions
We consider complete graphs with edge weights and/or node weights taking values in some set. In the first part of this paper, we show that a large number of graphs are completely...
Mireille Boutin, Gregor Kemper
SSS
2010
Springer
134views Control Systems» more  SSS 2010»
13 years 7 months ago
Storage Capacity of Labeled Graphs
We consider the question of how much information can be stored by labeling the vertices of a connected undirected graph G using a constant-size set of labels, when isomorphic label...
Dana Angluin, James Aspnes, Rida A. Bazzi, Jiang C...
JAL
1998
85views more  JAL 1998»
13 years 8 months ago
Isomorph-Free Exhaustive Generation
We describe a very general technique for generating families of combinatorial objects without isomorphs. It applies to almost any class of objects for which an inductive construct...
Brendan D. McKay