TY  - BOOK
AU  - Marr,Alison M.
AU  - Wallis,W.D.
ED  - SpringerLink (Online service)
TI  - Magic Graphs
SN  - 9780817683917
AV  - QA164-167.2 
U1  - 511.6 23
PY  - 2013///
CY  - New York, NY
PB  - Springer New York, Imprint: Birkhäuser
KW  - Mathematics
KW  - Computer science
KW  - Applied mathematics
KW  - Engineering mathematics
KW  - Combinatorics
KW  - Discrete Mathematics in Computer Science
KW  - Applications of Mathematics
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-8176-8391-7
ER  -