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New & Forthcoming Titles | Magic Graphs

Magic Graphs

Marr, Alison M., Wallis, W.D.

2nd ed. 2013, XVI, 188 p.

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  • Only book of its kind in the area of magic labelings
  • Features numerous exercises and their solutions
  • Includes updates on new research in the field

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.

Content Level » Graduate

Keywords » directed graph labeling - edge-magic total labelings - magic graphs - magic labelings - magic squares - vertex-magic total labelings

Related subjects » Birkhäuser Computer Science - Birkhäuser Mathematics

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