TY - BOOK AU - Akiyama,J. AU - Kanō,Mikio TI - Factors and factorizations of graphs: proof techniques in factor theory T2 - Lecture notes in mathematics, SN - 9783642219184 U1 - 512 PY - 2011/// CY - Heidelberg, New York PB - Springer Verlag KW - Factors (Algebra) KW - Factorization (Mathematics) KW - Graph theory N1 - Includes bibliographical references and index; Basic terminology -- Matching and 1-factors -- Regular factors and f-factors -- (g,f)-factors and [a,b]-factors -- [a,b]-factorizations -- Parity factors -- Component factors -- Spanning trees -- Glossaries of functions and notations N2 - "This book chronicles the development of graph factors and factorizations. It purses a comprehensive approach, addressing most of the important results from hundreds of findings over the last century. One of the main theses 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 covering the history and development in 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." --P. [4] of cover UR - http://site.ebrary.com/id/10480318 UR - http://www.loc.gov/catdir/enhancements/fy1202/2011932316-d.html UR - http://www.loc.gov/catdir/enhancements/fy1202/2011932316-t.html ER -