{"product_id":"9780817683900","title":"Magic Graphs","description":"\u003ch1\u003eMagic Graphs\u003c\/h1\u003e \u003ch2\u003eMarr, Alison M.; Wallis, W.D.\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eMagic 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. \u003c\/p\u003e\u003cp\u003eKey features of this second edition include:\u003c\/p\u003e\u003cp\u003e·         a new chapter on magic labeling of directed graphs\u003c\/p\u003e\u003cp\u003e·         applications of theorems from graph theory and interesting counting arguments\u003c\/p\u003e\u003cp\u003e·         new research problems and exercises covering a range of difficulties\u003c\/p\u003e\u003cp\u003e·         a fully updated bibliography and index\u003c\/p\u003e\u003cp\u003eThis concise, self-contained exposition is unique in its focus on the theory of magic graphs\/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-06\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817683900\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-0-8176-8391-7\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 188\u003c\/p\u003e ","brand":"Springer New York","offers":[{"title":"Default Title","offer_id":46547419660428,"sku":"9780817683900","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817683900.jpg?v=1775824245","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780817683900","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}