Results 91 to 100 of about 495 (157)
Matroid connectivity and singularities of configuration hypersurfaces. [PDF]
Lett Math Phys, 2021 Denham G, Schulze M, Walther U.
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Tutte polynomials and arithmetic Tutte polynomials of the classical Coxeter arrangements
, 2012 The Tutte polynomial is an important polynomial that encodes several invariants of graphs. The coboundary polynomial is equivalent to the Tutte polynomial through a change of variables. In this paper I first compute the Tutte polynomials of the classical
Michael Henley
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Ising Model on Random Triangulations of the Disk: Phase Transition. [PDF]
Commun Math Phys, 2023 Chen L, Turunen J.
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Parallel connections and coloured Tutte polynomials
, 2005 We give formulas for the Tutte polynomials of parallel and series connections of weighted matroids, generalizing and unifying formulas of Oxley and Welsh (Discrete Math. 109 (1992) 185), Bollobás and Riordan (Comb. Probab. Comput.
Traldi, Lorenzo
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, 2000 We consider the equivalence classes of graphs induced by the unsigned versions of the Reidemeister moves on knot diagrams. Any graph which is reducible by some finite sequence of these moves, to a graph with no edges is called a knot graph.
Welsh, D J A +13 more
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The Tutte polynomial modulo a prime
Advances in Applied Mathematics, 2004 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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, 2004 This paper describes how I became acquainted with the Tutte polynomial, and how I was led to the theorems about its represention as a sum over spanning trees and about its invariance under the flipping of a rotor of order less than ...
Tutte, W.T.
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The Tutte polynomial of a ported matroid
Journal of Combinatorial Theory, Series B, 1989 Las Vergnas' generalizations of the Tutte polynomial are studied as follows. The theory of Tutte-Grothendieck matroid invariants f is modified so the Tutte decomposition \(f(M)=f(M\setminus e)+f(M/e)\) is applied only when \(e\not\in P\) (and e is neither a loop nor an isthmus) where P is a distinguished set of points called ports.
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The number of lattice paths below a cyclically shifting boundary
, 2009 We count the number of lattice paths lying under a cyclically shifting piecewise linear boundary of varying slope. Our main result can be viewed as an extension of well-known enumerative formulae concerning lattice paths dominated by lines of integer ...
Rattan, Amarpreet +4 more
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Interlace polynomials and Tutte polynomials
, 2013 This article has been superseded by arXiv:1301 ...
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