Results 91 to 100 of about 7,067 (209)

A Note on a Broken-Cycle Theorem for Hypergraphs

open access: yesDiscussiones Mathematicae Graph Theory, 2014
Whitney’s Broken-cycle Theorem states the chromatic polynomial of a graph as a sum over special edge subsets.
Trinks Martin
doaj   +1 more source

Tutte's first colour-cycle conjecture

open access: yes, 1975
Includes bibliographical references.This thesis presents a proof of Conjecture I (see Section 35) of W. T. Tutte's paper "A contribution to the theory of chromatic polynomials''.
Kilpatrick, Peter Allan
core  

Complexity of Join and Corona graphs and Chebyshev polynomials

open access: yesJournal of Taibah University for Science, 2018
Boesh and Prodinger have shown how to use properties of Chebyshev polynomials to compute formulas for the number of spanning trees of some special graphs.
S. N. Daoud
doaj   +1 more source

CATEGORIFICATION OF THE DICHROMATIC POLYNOMIAL FOR GRAPHS [PDF]

open access: yesJournal of Knot Theory and Its Ramifications, 2008
For each graph and each positive integer n, we define a chain complex whose graded Euler characteristic is equal to an appropriate n-specialization of the dichromatic polynomial. This also gives a categorification of n-specializations of the Tutte polynomial of graphs.
openaire   +2 more sources

P-Generating Polynomials and the P-Fractal of a Graph

open access: yes, 2014
We define the P -generating polynomial for a graph G and property P as the generating polynomial for the number of P-subgraphs of G of each size. This polynomial is a generalization of the independence polynomial and so results for the independence ...
Cameron, Ben
core  

The Interlace Polynomial of Graphs at − 1

open access: yesEuropean Journal of Combinatorics, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Paul Balister   +3 more
openaire   +2 more sources

Algebraic Properties of Chromatic Polynomials and Their Roots

open access: yes, 2015
In this thesis we examine chromatic polynomials from the viewpoint of algebraic number theory. We relate algebraic properties of chromatic polynomials of graphs to structural properties of those graphs for some simple families of graphs.
Gilmore, Hamish Julian
core  

Graphs and graph polynomials [PDF]

open access: yes, 2017
A dissertation submitted to the School of Mathematics in fulfilment of the requirements for the degree of Master of Science School of Mathematics University of the Witwatersrand, October 2017In this work we study the k-defect polynomials of a graph G. The
Kriel, Christo
core  

Comparative Theory for Graph Polynomials (Dagstuhl Seminar 19401)

open access: yes, 2020
This report documents the programme and outcomes of Dagstuhl Seminar 19401 ``Comparative Theory for Graph Polynomials''. The study of graph polynomials has become increasingly active, with new applications and new graph polynomials being discovered ...
Ellis-Monaghan, Jo   +3 more
core   +1 more source

Polynomial Approximation and Graph-Coloring [PDF]

open access: yesComputing, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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