Results 1 to 10 of about 105 (102)
Fractional dynamic system simulating the growth of microbe [PDF]
Advances in Difference Equations, 2021 There are different approaches that indicate the dynamic of the growth of microbe. In this research, we simulate the growth by utilizing the concept of fractional calculus.
Samir B. Hadid, Rabha W. Ibrahim
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Modifications of Tutte–Grothendieck invariants and Tutte polynomials [PDF]
AKCE International Journal of Graphs and Combinatorics, 2020 Generalized Tutte–Grothendieck invariants are mappings from the class of matroids to a commutative ring that are characterized recursively by contraction–deletion rules. Well known examples are Tutte, chromatic, tension and flow polynomials.
Martin Kochol
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Chain polynomials and Tutte polynomials
Discrete Mathematics, 2002 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lorenzo Traldi
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Graph polynomials associated with Dyson-Schwinger equations [PDF]
Mathematica Moravica, 2023 Quantum motions are encoded by a particular family of recursive Hochschild equations in the renormalization Hopf algebra which represent Dyson-Schwinger equations, combinatorially.
Shojaei-Fard Ali
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Computing Tutte Polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We present a new edge selection heuristic and vertex ordering heuristic that together enable one to compute the Tutte polynomial of much larger sparse graphs than was previously doable.
Michael Monagan
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Relaxations of the matroid axioms I: Independence, Exchange and Circuits [PDF]
Discrete Mathematics & Theoretical Computer Science, 2020 Motivated by a question of Duval and Reiner about higher Laplacians of simplicial complexes, we describe various relaxations of the defining axioms of matroid theory to obtain larger classes of simplicial complexes that contain pure shifted simplicial ...
Jose ́ Alejandro Samper
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The arithmetic Tutte polynomials of the classical root systems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2014 Many combinatorial and topological invariants of a hyperplane arrangement can be computed in terms of its Tutte polynomial. Similarly, many invariants of a hypertoric arrangement can be computed in terms of its arithmetic Tutte polynomial. We compute the
Federico Ardila +2 more
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Arithmetic matroids and Tutte polynomials [PDF]
Discrete Mathematics & Theoretical Computer Science, 2012 We introduce the notion of arithmetic matroid, whose main example is provided by a list of elements in a finitely generated abelian group. We study the representability of its dual, and, guided by the geometry of toric arrangements, we give a ...
Michele D'Adderio, Luca Moci
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Colored Tutte polynomials and composite knots [PDF]
Discrete Mathematics & Theoretical Computer Science, 2009 Surveying the results of three recent papers and some currently ongoing research, we show how a generalization of Brylawski's tensor product formula to colored graphs may be used to compute the Jones polynomial of some fairly complicated knots and, in ...
Gábor Hetyei +2 more
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Inapproximability of the Tutte polynomial [PDF]
Information and Computation, 2007 Minor changes to correct typos and provide clarification.
Leslie Ann Goldberg, Mark Jerrum
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