1.

Record Nr.

UNISA996466647103316

Autore

Akiyama Jin

Titolo

Factors and Factorizations of Graphs [[electronic resource] ] : Proof Techniques in Factor Theory / / by Jin Akiyama, Mikio Kano

Pubbl/distr/stampa

Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2011

ISBN

3-642-21919-5

Edizione

[1st ed. 2011.]

Descrizione fisica

1 online resource (XII, 353 p. 153 illus.)

Collana

Lecture Notes in Mathematics, , 0075-8434 ; ; 2031

Disciplina

512/.57

Soggetti

Mathematics

Computer programming

Mathematics, general

Programming Techniques

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Bibliographic Level Mode of Issuance: Monograph

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

1 Basic Terminology -- 2 Matchings and 1-Factors -- 3 Regular Factors and f-Factors -- 4 (g, f)-Factors and [a, b]-Factors -- 5 [a, b]-Factorizations -- 6 Parity Factors -- 7 Component Factors -- 8 Spanning Trees.

Sommario/riassunto

This book chronicles the development of graph factors and factorizations. It pursues a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main themes is the observation that many theorems can be proved using only a few standard proof techniques. This stands in marked contrast to the seemingly countless, complex proof techniques offered by the extant body of papers and books. In addition to covering the history and development of this area, the book offers conjectures and discusses open problems. It also includes numerous explanatory figures that enable readers to progressively and intuitively understand the most important notions and proofs in the area of factors and factorization.