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  On an ordering-dependent generalization of Tutte polynomial

Geloun, J. B., & Caravelli, F. (submitted). On an ordering-dependent generalization of Tutte polynomial.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-4580-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0029-4581-4
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1512.02278.pdf (Preprint), 368KB
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 Creators:
Geloun, Joseph Ben1, Author              
Caravelli, Francesco, Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: Mathematical Physics, math-ph, Condensed Matter, Statistical Mechanics, cond-mat.stat-mech,Mathematics, Combinatorics, math.CO,Mathematics, Mathematical Physics, math.MP
 Abstract: A generalization of Tutte polynomial involved in the evaluation of the moments of the integrated geometric Brownian in the Ito formalism is discussed. The new combinatorial invariant depends on the order in which the sequence of contraction-deletions have been performed on the graph. Thus, this work provides a motivation for studying an order-dependent Tutte polynomial in the context of stochastic differential equations. We show that in the limit of the control parameters encoding the ordering going to zero, the multivariate Tutte-Fortuin-Kasteleyn polynomial is recovered.

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 Dates: 2015-12-072015
 Publication Status: Submitted
 Pages: 17 pages, 2 figures
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1512.02278
URI: http://arxiv.org/abs/1512.02278
 Degree: -

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