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The Spectrum of the Coloration Matrix for the Complete Partite Graph

Conference: 
Palestinian Conference on Modern Trends in Mathematics and Physics II
Authors: 
Subhi Ruzieh
Abstract: 

This paper talks about eigenvalues of graphs and finding them through making use of the coloration partition. We first define the concept of coloration. We then apply it to compute eigenvalues of some graphs. The concentration will be on graphs having a nontrivial coloration like the complete bipartite graphs K(m, n) and the complete 3 - partite graphs K(m, n, p). The idea can be carried through to the complete n-partite graphs, but the computations then will become more difficult to be concluded.

Full Text: 
PDF icon The Spectrum of the Coloration Matrix for the Complete Partite Graph