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Feynman graph polynomials [PDF]
International Journal of Modern Physics A, 2010 The integrand of any multi-loop integral is characterised after Feynman parametrisation by two polynomials. In this review we summarise the properties of these polynomials.
Belkale P. +22 more
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Graph Operations and Neighborhood Polynomials
Discussiones Mathematicae Graph Theory, 2021 The neighborhood polynomial of graph G is the generating function for the number of vertex subsets of G of which the vertices have a common neighbor in G.
Alipour Maryam, Tittmann Peter
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Connection between Graphs' Chromatic and Ehrhart Polynomials [PDF]
Journal of Applied Sciences and Nanotechnology, 2023 Graph Theory is a discipline of mathematics with numerous outstanding issues and applications in a variety of sectors of mathematics and science. The chromatic polynomial is a type of polynomial that has useful and attractive qualities.
Ola Neamah, Shatha Salman
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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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A study on determination of some graphs by Laplacian and signless Laplacian permanental polynomials
AKCE International Journal of Graphs and Combinatorics, 2023 The permanent of an n × n matrix [Formula: see text] is defined as [Formula: see text] where the sum is taken over all permutations σ of [Formula: see text] The permanental polynomial of M, denoted by [Formula: see text] is [Formula: see text] where In ...
Aqib Khan +2 more
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Indonesian Journal of Combinatorics, 2020 Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e.
Salma Kanwal +4 more
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Location of zeros of Wiener and distance polynomials. [PDF]
PLoS ONE, 2012 The geometry of polynomials explores geometrical relationships between the zeros and the coefficients of a polynomial. A classical problem in this theory is to locate the zeros of a given polynomial by determining disks in the complex plane in which all ...
Matthias Dehmer, Aleksandar Ilić
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Computation of Zagreb Polynomial and Indices for Silicate Network and Silicate Chain Network
Journal of Mathematics, 2023 The connection of Zagreb polynomials and Zagreb indices to chemical graph theory is a bifurcation of mathematical chemistry, which has had a crucial influence on the development of chemical sciences.
Muhammad Usman Ghani +4 more
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Graph polynomials and group coloring of graphs
European Journal of Combinatorics, 2022 Let $Γ$ be an Abelian group and let $G$ be a simple graph. We say that $G$ is $Γ$-colorable if for some fixed orientation of $G$ and every edge labeling $\ell:E(G)\rightarrow Γ$, there exists a vertex coloring $c$ by the elements of $Γ$ such that $c(y)-c(x)\neq \ell(e)$, for every edge $e=xy$ (oriented from $x$ to $y$).
Bosek, Bartlomiej +4 more
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Computing F-index, coindex and Zagreb polynomials of the kth generalized transformation graphs
Heliyon, 2020 In chemical graph theory, forgotten topological index or F-index plays a crucial role to collect information about the properties of chemical compounds. The kth generalized transformation graphs of a molecular graph preserve the entire information on the
Durbar Maji, Ganesh Ghorai
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