01182cam a22002057a 45000010009000000050017000090080041000260200031000670200028000980400013001260820021001391000020001602450052001802500012002322600040002443000034002845200619003186500021009377000018009581747224020190514102547.0120924s2013    nyua          000 0 eng d  a9780817683900 (alk. paper)  a0817683909 (alk. paper)  cPK-LaUMT04a511.5223bMAR-M1 aMarr, Alison M.10aMagic graphs /cAlison M. Marr, and W.D. Wallis  a2nd ed.  aNew York, NY :bBirkhäuser,c2013  axvi, 186 p. :bill. ;c24 cm.  aMagic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of "magic" ideas have been applied to graphs. Recently there has been a resurgence of interest in "magic labelings" due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: a new chapter on magic labeling of directed graphs, applications of theorems from graph theory and interesting counting arguments, new research problems and exercises covering a range of difficulties; a fully updated bibliography and index -- 0aMagic labelings.1 aWallis, W. D.