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Research Article

OPTIMAL LAYOUT OF EMBEDDING GENERALIZED PETERSEN GRAPH $P(n,m)$ INTO CYCLE OF TRIANGLE

A
Arul Jeya Shalini PG Department of Mathematics, Women s Christian College, University of Madras, Chennai - 600006, INDIA
E
E. Parkavi PG Department of Mathematics, Women s Christian College, University of Madras, Chennai - 600006, INDIA
Volume 18, Issue 1 Pages 333-340 April 30, 2022 343 downloads
Article overview

Abstract

Graph embedding is an important tool in parallel computation and interconnection networks. Interconnection network plays a major role in parallel processing and computation system. The embedding technique helps in demonstrating parallel computer and the interconnection network is given through guest graph where the challenge is to find out non-verlapping minimum wirelength. In this paper with Petersen graph as guest graph and cycle of triangle as host graph, we find the exact wirelength of embedding Petersen graph $ P (n,m) $ into cycle of triangle.

Keywords and Phrases

Embeddingedge congestionPetersen graphcycle of trianglewirelength.

AMS Subject Classification

05C12, 05C85, 05C90.

Reference information

How to Cite

Arul Jeya Shalini, E. Parkavi (2022). OPTIMAL LAYOUT OF EMBEDDING GENERALIZED PETERSEN GRAPH $P(n,m)$ INTO CYCLE OF TRIANGLE. South East Asian Journal of Mathematics and Mathematical Sciences, 18(1), 333-340.
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