1.

Record Nr.

UNINA9910437870703321

Autore

Marr Alison M

Titolo

Magic Graphs / / by Alison M. Marr, W.D. Wallis

Pubbl/distr/stampa

New York, NY : , : Springer New York : , : Imprint : Birkhäuser, , 2013

ISBN

0-8176-8391-7

Edizione

[2nd ed. 2013.]

Descrizione fisica

1 online resource (198 p.)

Disciplina

511.5

Soggetti

Combinatorial analysis

Computer science—Mathematics

Applied mathematics

Engineering mathematics

Combinatorics

Discrete Mathematics in Computer Science

Applications of Mathematics

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes Index.

Nota di bibliografia

Includes bibliographical references (pages [163]-169) and index.

Nota di contenuto

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.

Sommario/riassunto

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.