Every Tree is a Subtree of a Graceful Unicyclic Graph: Graph Embedding - Softcover

V., Murugan

 
9786207809370: Every Tree is a Subtree of a Graceful Unicyclic Graph: Graph Embedding

Inhaltsangabe

A decomposition of a graph K into a set of graphs {G1,G2,...,Gt} is a partition (E1,E2,...,Et) of E(K) such that ∼= Gi, for i,1 ≤ i ≤ t, where denotes the edge induced subgraph induced by the subset of edges Ei of K. If a graph K has a decomposition {G1,G2,...,Gt} and if each graph Giis isomorphic to a graph G, for i, 1 ≤ i ≤ t, then we say the graph K has a G-decomposition. Similarly, if a graph K has a decomposition {G1,G2,...,Gt} and for each i,1 ≤i ≤ t, Gi is isomorphic to either a graph G or a graph H such that there exist at least one i and at least one j, for i, j,i 6= j and 1 ≤ i, j ≤ t with Gi∼= G and Gj∼= H, then we say the graph K has a (G,H)-decomposition. This book is pertaining to study G-decomposition of certain complete graphs, where G is a tree and (G,H)-decomposition of certain complete graphs, where G is a tree and H is either a path or a star or a cycle.

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Über die Autorin bzw. den Autor

Dr. Murugan V. is an assistant professor with 8 years of teaching and research experience. He serving at VIT Vellore. The author is very much interested on graph labeling problems. He is working on graph decomposition using the labeling of the vertices on the graphs. He good number of research article in a well reputed journals.

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