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Kombinatorischer Nullstellensatz: Mit Anwendungen zur grafischen Färbung von Xuding Zh-
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eBay-Artikelnr.:395078525495
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9780367686949
- Book Title
- Combinatorial Nullstellensatz
- ISBN
- 9780367686949
- Subject Area
- Mathematics
- Publication Name
- Combinatorial Nullstellensatz
- Publisher
- CRC Press LLC
- Item Length
- 8.5 in
- Subject
- General, Algebra / General, Combinatorics, Discrete Mathematics
- Publication Year
- 2021
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Weight
- 24.8 Oz
- Item Width
- 5.4 in
- Number of Pages
- 134 Pages
Über dieses Produkt
Product Identifiers
Publisher
CRC Press LLC
ISBN-10
0367686945
ISBN-13
9780367686949
eBay Product ID (ePID)
16050064492
Product Key Features
Number of Pages
134 Pages
Language
English
Publication Name
Combinatorial Nullstellensatz
Publication Year
2021
Subject
General, Algebra / General, Combinatorics, Discrete Mathematics
Type
Textbook
Subject Area
Mathematics
Format
Hardcover
Dimensions
Item Weight
24.8 Oz
Item Length
8.5 in
Item Width
5.4 in
Additional Product Features
Intended Audience
College Audience
LCCN
2021-012270
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
511.6
Table Of Content
Some definitions and notations. Combinatorial Nullstellensatz. Alon-Tarsi Theorem and its Applications. Generalizations of CNS and applications. Permanent and vertex-edge weighting.
Synopsis
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., 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.
LC Classification Number
QA164
Artikelbeschreibung des Verkäufers
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- -***6 (133)- Bewertung vom Käufer.Letzte 6 MonateBestätigter KaufItem arrived as described and adequately packaged. Ridiculously long shipping time. Seller posts incorrect tracking number and lists the item as shipped. Contacted seller for correct tracking, received a new tracking number with the warning that the number won’t be “live” until the item is shipped. Will you get your item? Yeah, probably. Count on it being delivered 2-3 weeks longer than expected.