this study examines the factors influencing women’s quest of divorce in tehran. the research framework is based on the theory of order (within the family), social capital theory, and matching partnership. research method was survey and the instrument of the study was questionnaires. 239 seeking divorce women and the same number of non-seeking divorce women were given the questionnaires. they we...

The energy of a graph G, ?(G), is the sum absolute values eigenvalues its adjacency matrix. matching number ?(G) edges in maximum matching. In this paper, for connected G order n with largest vertex degree ? 6 we present two new upper bounds graph: (n-1)?? and 2?(G)??. latter one improves recently obtained bound {2?(G)?2?e + 1, if ?e even; ?(G)(? 2?a ?a-2?a), otherwise, where stands edge = 2(?e...

The fractional matching number of a graph G , written as α ′ ( ) is the maximum size . following sharp lower bounds for order n are proved, and all extremal graphs characterized in this paper. (1) + ¯ ≥ 2 (2) If non-empty, then 30 1 (3) have no isolated vertices, 4