Embedding Complete Bipartite Graph into Sibling Trees with Optimum Wirelength

A. Berin Greeni1
1School of Advanced Sciences, Vellore Institute of Technology, Chennai, India

Abstract

In this paper, we determine the wirelength of embedding complete bipartite graphs \(K_{2^{n-1}, 2^{n-1}} into 1-rooted sibling tree \(ST_n^1\), and Cartesian product of 1-rooted sibling trees and paths.

Keywords: Embedding, congestion, edge isoperimetric problem, complete bipartite graph, tree.