Graceful, Harmonious and Magic Type Labelings: Relations and by Susana C. López, Francesc A. Muntaner-Batle

By Susana C. López, Francesc A. Muntaner-Batle

Aimed towards top undergraduate and graduate scholars in arithmetic, this ebook examines the key different types of graph labelings together with magic, harmonious, and swish labelings. an summary of uncomplicated graph conception ideas and notation is equipped in addition to the origins of graph labeling. universal equipment and strategies are provided introducing readers to hyperlinks among graph labels. numerous priceless concepts are provided to research and comprehend homes of graph labelings. The classical effects built-in with new recommendations, whole proofs, various routines, and various open difficulties, will supply readers with a superb realizing of graph labelings.

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Additional info for Graceful, Harmonious and Magic Type Labelings: Relations and Techniques

Example text

Math. and Comb. Comput. The proofs from [10] are introduced with permission from [10], Elsevier, ©2001. The proofs from [4] are introduced with permission from Springer, [4], ©Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer Berlin Heidelberg 2009. References 1. : Exponential lower bounds for the number of graceful numbering of snakes. Congr. Numer. 72, 163–174 (1990) 2. : Graceful and edge-antimagic labelings.

CRM 175 (1972) 20. : Special super edge-magic labelings of bipartite graphs. J. Comb. Math. Comb. Comput. 39, 107–120 (2001) 21.

In spite of all this, we have the strong conviction that this chain of events motivated many people, to work on the topic of graph labelings, and thanks to this, this area has experimented a fast development during the last two decades. Nevertheless, and in spite of all the people working in the subject, there are many open and very interesting and challenging problems to work on. We are sure that the reader will find many of them if she/he continues her/his journey through the book. References 1.

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