### Graph Model for Bio Diversity with an Estimate for Fitness Slope of Indian Tigers

#### Abstract

Suppose that G=(V, E) is a ( p, q ) graph with p=|v(G)| and q=|E(G)|.Let e1,e2,…,eq be the q edges of G. We say that G has α* representation if f: V(G)→ Rq in such a way that in the r-th component of f(v) = (e1 ,…, eq), we have the entry 1 if er has v as one of its end and 0 otherwise. In this paper we showed that every graph G has α*-representation and discuss such representation for friendship networks and determined the fitness slope of Indian tigers using Leslie matix.

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