ABSTRACT. Suppose G is a graph, A(G) its adjacency matrix and f(G, x)=x^n+a_(n-1)x^(n-1)+... is the characteristic polynomial of G. The matching polynomial of G is defined as M(G, x) = x^n-m(G,1)x^(n-2) + ... where m(G,k) is the number of k-matchings in G. In this paper, we determine the relationship between 2k-th coefficient of characteristic polynomial, a_(2k), and k-th coefficient of matchin...

At the household level, livestock plays a critical economic and social role in pastoralists and at the household level, livestock plays a critical economic and social role in pastoralists and smallholder farm households. The objectives of this study were to analyze factors affecting participation in cattle fattening and its impacts on household income in Fadis district of Eastern Hararghe. Both...