Labelings Of Discrete Structures And Applications
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Labelings of Discrete Structures and Applications
Author: B. D. Acharya
language: en
Publisher: Narosa Publishing House
Release Date: 2007-12-21
The problems arising from the study of a variety of labeling schemes of the elements of any discrete structure such as a graph, a directed graph, a hypergraph or a signed graph is a potential area of research with a lots of challenging unsolved problems. Research papers giving recent developments and directions for further research on topics such as graceful labelings, graph decomposition, multiplicative labelings, set labelings, sigma graphs, orthogonal labelings, Skolem and Hooked Skolem graceful labelings for graphs and signed graphs, set magic labeling, k- equitable graphs and Arithmetic graphs by leading experts in the respective fields are included in this volume. This volume will serve as an excellent reference for experts and research scholars working on Graph Labeling Problems.
Discrete Structures and Their Interactions
Discover the Connections between Different Structures and Fields Discrete Structures and Their Interactions highlights the connections among various discrete structures, including graphs, directed graphs, hypergraphs, partial orders, finite topologies, and simplicial complexes. It also explores their relationships to classical areas of mathematics, such as linear and multilinear algebra, analysis, probability, logic, and topology. The text introduces a number of discrete structures, such as hypergraphs, finite topologies, preorders, simplicial complexes, and order ideals of monomials, that most graduate students in combinatorics, and even some researchers in the field, seldom experience. The author explains how these structures have important applications in many areas inside and outside of combinatorics. He also discusses how to recognize valuable research connections through the structures. Intended for graduate and upper-level undergraduate students in mathematics who have taken an initial course in discrete mathematics or graph theory, this book shows how discrete structures offer new insights into the classical fields of mathematics. It illustrates how to use discrete structures to represent the salient features and discover the underlying combinatorial principles of seemingly unrelated areas of mathematics.
Discrete Mathematics
Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog