Factors and factorizations of graphs: proof techniques in factor theory

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 conjecturesand 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. The book is self-contained and comprehensive, allowing readers to rely on it exclusively to understand the entire history and development of this area.Unlike other books, in which difficult proof techniques are simply lifted from earlier sources, in this book, the contents of each proof technique is analyzed and streamlined. Each chapter features conjectures and open problems, inspiring readers to further their own study. INDICE: 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.

• ISBN: 978-3-642-21918-4
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Rústica
• Páginas: 360
• Fecha Publicación: 31/07/2011
• Nº Volúmenes: 1
• Idioma: Inglés