Catalog > Științe > Math > R. Balakrishnan & Xuding Zhu: Combinatorial Nullstellensatz (ePUB)

R. Balakrishnan & Xuding Zhu
Combinatorial Nullstellensatz [EPUB ebook]
With Applications to Graph Colouring

Ajutor

Copertina de R. Balakrishnan & Xuding Zhu: Combinatorial Nullstellensatz (ePUB)

Combinatorial Nullstellensatz is a novel theorem in algebra introduced by Noga Alon to tackle combinatorial problems in diverse areas of mathematics. This book focuses on the applications of this theorem to graph colouring. A key step in the applications of Combinatorial Nullstellensatz is to show that the coefficient of a certain monomial in the expansion of a polynomial is nonzero. The major part of the book concentrates on three methods for calculating the coefficients:

Alon-Tarsi orientation: The task is to show that a graph has an orientation with given maximum out-degree and for which the number of even Eulerian sub-digraphs is different from the number of odd Eulerian sub-digraphs. In particular, this method is used to show that a graph whose edge set decomposes into a Hamilton cycle and vertex-disjoint triangles is 3-choosable, and that every planar graph has a matching whose deletion results in a 4-choosable graph.

Interpolation formula for the coefficient: This method is in particular used to show that toroidal grids of even order are 3-choosable, r-edge colourable r-regular planar graphs are r-edge choosable, and complete graphs of order p+1, where p is a prime, are p-edge choosable.

Coefficients as the permanents of matrices: This method is in particular used in the study of the list version of vertex-edge weighting and to show that every graph is (2, 3)-choosable.

It is suited as a reference book for a graduate course in mathematics.

€25.69

Cumpărați această carte electronică și primiți încă 1 GRATUIT!

Format EPUB ● Pagini 150 ● ISBN 9781000426694 ● Editura CRC Press ● Publicat 2021 ● Descărcabil 3 ori ● Valută EUR ● ID 7853273 ● Protecție împotriva copiilor Adobe DRM

Necesită un cititor de ebook capabil de DRM

Mai multe cărți electronice de la același autor (i) / Editor

R. Balakrishnan Xuding Zhu

48.721 Ebooks din această categorie

Copertina de Bart K. (Associate Professor of Biostatistics and Epidemiology, New Jersey Medical School) Holland: What Are the Chances?

Bart K. (Associate Professor of Biostatistics and Epidemiology, New Jersey Medical School) Holland: What Are the Chances?

An “enjoyable [and] painlessly instructive” guide to probability, full of examples drawn from daily life and history (The Skeptic). Our lives are governed by chance. But what, exactly, is chance? In …

Copertina de Giovanni Dore: Differential Equations in Banach Spaces

Giovanni Dore: Differential Equations in Banach Spaces

This reference – based on the Conference on Differential Equations, held in Bologna – provides information on current research in parabolic and hyperbolic differential equations. Presenting methods a …

Copertina de Binay Kanti Dutta: Mathematical Methods in Chemical and Biological Engineering

Binay Kanti Dutta: Mathematical Methods in Chemical and Biological Engineering

Mathematical Methods in Chemical and Biological Engineering describes basic to moderately advanced mathematical techniques useful for shaping the model-based analysis of chemical and biological engin …

Copertina de Riccardo Benedetti: Lectures on Differential Topology

Riccardo Benedetti: Lectures on Differential Topology

This book gives a comprehensive introduction to the theory of smooth manifolds, maps, and fundamental associated structures with an emphasis on "bare hands" approaches, combining differenti …

Copertina de Sasun Yakubov: Completeness of Root Functions of Regular Differential Operators

Sasun Yakubov: Completeness of Root Functions of Regular Differential Operators

The precise mathematical investigation of various natural phenomena is an old and difficult problem. This book is the first to deal systematically with the general non-selfadjoint problems in mechani …

Copertina de Oleksandr Nakonechnyi & Yuri Podlipenko: Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data

Oleksandr Nakonechnyi & Yuri Podlipenko: Guaranteed Estimation Problems in the Theory of Linear Ordinary Differential Equations with Uncertain Data

This monograph is devoted to the construction of optimal estimates of values of linear functionals on solutions to Cauchy and two-point boundary value problems for systems of linear first-order ordin …

Copertina de Falguni S. Acharya & Nita H. Shah: Solid Geometry with MATLAB Programming

Falguni S. Acharya & Nita H. Shah: Solid Geometry with MATLAB Programming

Solid geometry is defined as the study of the geometry of three-dimensional solid figures in Euclidean space. There are numerous techniques in solid geometry, mainly analytic geometry and methods usi …

Copertina de Paul-Jean Cahen & Douglas L. Costa: Commutative Ring Theory

Paul-Jean Cahen & Douglas L. Costa: Commutative Ring Theory

‘ Exploring commutative algebra”s connections with and applications to topological algebra and algebraic geometry, Commutative Ring Theory covers the spectra of rings chain conditions, dimension the …

Copertina de Bor-Sen (National Tsing Hua University, Taiwan) Chen: Multi-Objective Optimization System Designs and Their Applications

Bor-Sen (National Tsing Hua University, Taiwan) Chen: Multi-Objective Optimization System Designs and Their Applications

This book introduces multi-objective design methods to solve multi-objective optimization problems (MOPs) of linear/nonlinear dynamic systems under intrinsic random fluctuation and external disturban …

Copertina de Ahmed I. (DePaul University, Chicago, Illinois, USA) Zayed: Fractional Integral Transforms

Ahmed I. (DePaul University, Chicago, Illinois, USA) Zayed: Fractional Integral Transforms

Fractional Integral Transforms: Theory and Applications presents over twenty-five integral transforms, many of which have never before been collected in one single volume. Some transforms are classic …

Pagina următoare >>>