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APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
15 years 8 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»
15 years 6 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»
15 years 5 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»
15 years 6 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»
16 years 22 days 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