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» On the Hardness of Graph Isomorphism
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COMBINATORICS
2006
109views more  COMBINATORICS 2006»
13 years 9 months ago
The Strongly Regular (45, 12, 3, 3) Graphs
Using two backtrack algorithms based on different techniques, designed and implemented independently, we were able to determine up to isomorphism all strongly regular graphs with ...
Kris Coolsaet, Jan Degraer, Edward Spence
JCT
2008
57views more  JCT 2008»
13 years 9 months ago
Invariant boundary distributions for finite graphs
Let be the fundamental group of a finite connected graph G. Let M be an abelian group. A distribution on the boundary of the universal covering tree is an M-valued measure defin...
Guyan Robertson
SIGECOM
2005
ACM
92views ECommerce» more  SIGECOM 2005»
14 years 2 months ago
True costs of cheap labor are hard to measure: edge deletion and VCG payments in graphs
We address the problem of lowering the buyer’s expected payments in shortest path auctions, where the buyer’s goal is to purchase a path in a graph in which edges are owned by...
Edith Elkind
STACS
2007
Springer
14 years 3 months ago
Hard Metrics from Cayley Graphs of Abelian Groups
: Hard metrics are the class of extremal metrics with respect to embedding into Euclidean spaces: they incur Ω(logn) multiplicative distortion, which is as large as it can possib...
Ilan Newman, Yuri Rabinovich
COCOON
2003
Springer
14 years 2 months ago
The Complexity of Boolean Matrix Root Computation
Abstract. We show that finding roots of Boolean matrices is an NPhard problem. This answers a twenty year old question from semigroup theory. Interpreting Boolean matrices as dire...
Martin Kutz