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APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
14 years 11 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan
JCT
2008
84views more  JCT 2008»
14 years 9 months ago
Minimally non-Pfaffian graphs
We consider the question of characterizing Pfaffian graphs. We exhibit an infinite family of non-Pfaffian graphs minimal with respect to the matching minor relation. This is in sha...
Serguei Norine, Robin Thomas
RSA
2002
51views more  RSA 2002»
14 years 9 months ago
Testing subgraphs in large graphs
Let H be a fixed graph with h vertices, let G be a graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. It is known that in this ca...
Noga Alon
AMC
2008
78views more  AMC 2008»
14 years 9 months ago
Information processing in complex networks: Graph entropy and information functionals
This paper introduces a general framework for defining the entropy of a graph. Our definition is based on a local information graph and on information functionals derived from the...
Matthias Dehmer
APPROX
2009
Springer
104views Algorithms» more  APPROX 2009»
15 years 4 months ago
Improved Polynomial Identity Testing for Read-Once Formulas
An arithmetic read-once formula (ROF for short) is a formula (a circuit whose underlying graph is a tree) in which the operations are {+, ×} and such that every input variable la...
Amir Shpilka, Ilya Volkovich