Algebra and Graph Theory are two fascinating branches of Mathematics. The tools of each have been used in the other to explore and investigate problems in depth. Especially the Cayley graphs constructed out of the group structures have been greatly and extensively used in Parallel computers to provide network to the routing problem. ALGEBRA, GRAPH THEORY AND THEIR APPLICATIONS takes an inclusive view of the two areas and presents a wide range of topics. It includes sixteen referred research articles on algebra and graph theory of which three are expository in nature alongwith articles exhibiting the use of algebraic techniques in the study of graphs. A substantial proportion of the book covers topics that have not yet appeared in book form providing a useful resource to the younger generation of researchers in Discrete Mathematics.
T. Tamizh Chelvam / S. Somasundaram / R. Kala.: Department of Mathematics, Manonmaniam Sundaranar University Tirunelveli, Tamilnadu
Preface / Potential Theory of Finite and Infinite Graphs / Von Neumann Regularity on Krasner Hyperring / Groups, Characters and Graphs / t- Pebbling Number in Graphs / Perfect Point-set Domination Number of Graphs / (k, r, t)-Chromatic Partitions of a Graph / Global Restrained Domination Number of a Graph / A Study on Signal Distance in Graphs / Matrices with Product EP / Reconstruction Conjecture-present Trends of Research / Topological Spaces Associated with a Directed Semigraph / Domination Integrity of Middle Graphs / Inverse Domination in Grid Graphs / Complementary Isolated Domination Number / Classification of Root Lattices of Countably Infinite Rank / Self Vertex Switchings of Trees.
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