|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNISA996466408003316 |
|
|
Autore |
Anderson David F. <1948-> |
|
|
Titolo |
Graphs from rings / / David F. Anderson [and three others] |
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Cham, Switzerland : , : Springer, , [2021] |
|
©2021 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Descrizione fisica |
|
1 online resource (548 pages) : illustrations |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Graph theory |
Commutative rings |
Algebra |
Anells commutatius |
Teoria de grafs |
Llibres electrònics |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Intro -- Preface -- Notation -- Contents -- Chapter 1 Introduction -- 1.1 Basics in Algebra -- 1.2 Basics in Graph Theory -- Chapter 2 Distances in Zero-divisor Graphs -- 2.1 Zero-divisor Graphs -- 2.2 Basic Properties of Zero-divisor Graphs -- 2.3 Girth of Zero-divisor Graphs -- 2.3.1 Rings of Polynomials and Power Series -- 2.3.2 Idealization -- 2.3.3 Rings with Linearly Ordered Primes -- 2.4 Diameter of Zero-divisor Graphs -- 2.4.1 Rings of Polynomials and Power Series -- 2.4.2 Idealization -- 2.4.3 Rings with Linearly Ordered Primes -- 2.5 Radius and Center of Zero-divisor Graphs -- 2.6 Rings without Identity -- Chapter 3 Properties of Zero-divisor Graphs -- 3.1 Coloring of Zero-divisor Graphs -- 3.1.1 Vertex Coloring -- 3.1.2 Clique Number -- 3.1.3 Edge Coloring -- 3.2 Connectivity of Zero-divisor Graphs -- 3.3 Isomorphisms and Automorphisms -- 3.4 Bipartite Zero-divisor Graphs -- 3.5 Zero-divisor Graphs of Gaussian Integers -- 3.6 Cycles in Zero-divisor Graphs -- 3.6.1 Trees and Complements -- 3.6.2 Eulerian and Hamiltonian Graphs -- Chapter 4 Genus of Zero-divisor Graphs -- 4.1 Genus of Graphs -- 4.2 Planar Zero-divisor Graphs -- 4.3 Zero-divisor Graphs with Genus One -- 4.4 |
|
|
|
|