Marr, Alison M. <br/><br/>
Magic Graphs  [electronic resource] / 
by Alison M. Marr, W.D. Wallis. 
 - 2nd ed. 2013. 
 - XVI, 186 p. 34 illus.  online resource. 
<br/><br/>Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index. 
<br/><br/> Magic 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 This 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. 
<br/><br/><label>ISBN: </label>9780817683917 99780817683917 
<br/><br/><label>Standard No.: </label>10.1007/978-0-8176-8391-7  doi 
<br/><br/><label>Subjects--Topical Terms: </label><br/>MATHEMATICS.<br/>COMPUTATIONAL COMPLEXITY.<br/>COMBINATORICS.<br/>MATHEMATICS.<br/>COMBINATORICS.<br/>DISCRETE MATHEMATICS IN COMPUTER SCIENCE.<br/>APPLICATIONS OF MATHEMATICS.
<br/><br/><label>Dewey Class. No.: </label>511.6