An Essay on Comp\onenta Analysis of Graphs

Abstract

In most studies related to colouring of graphs and perhaps in the study of other invariants and variants of graphs, the restrictions of non-triviality and connectedness are placed upon graphs. For the introduction to comp\onenta analysis, these restrictions are relaxed. In particular, this essay focuses on comp\onenta analysis in respect of the recently introduced J-colouring. The concept of Jc-rainbow connectivity is also introduced in this paper.

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