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» Chain polynomials and Tutte polynomials
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CORR
2007
Springer
85views Education» more  CORR 2007»
13 years 7 months ago
A multivariate interlace polynomial
We define a multivariate polynomial that generalizes in a unified way the twovariable interlace polynomial defined by Arratia, Bollob´as and Sorkin on the one hand, and a one-...
Bruno Courcelle
BIRTHDAY
2008
Springer
13 years 9 months ago
Linear Recurrence Relations for Graph Polynomials
A sequence of graphs Gn is iteratively constructible if it can be built from an initial labeled graph by means of a repeated fixed succession of elementary operations involving add...
Eldar Fischer, Johann A. Makowsky
CSL
2008
Springer
13 years 9 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
ICALP
2010
Springer
13 years 9 months ago
Sparse Reliable Graph Backbones
Given a connected graph G and a failure probability pe for each edge e in G, the reliability of G is the probability that G remains connected when each edge e is removed independe...
Shiri Chechik, Yuval Emek, Boaz Patt-Shamir, David...
ISAAC
2003
Springer
129views Algorithms» more  ISAAC 2003»
14 years 22 days ago
Polynomial Time Approximate Sampler for Discretized Dirichlet Distribution
Abstract. In this paper, we propose a Markov chain for sampling a random vector distributed according to a discretized Dirichlet distribution. We show that our Markov chain is rapi...
Tomomi Matsui, Mitsuo Motoki, Naoyuki Kamatani