A graph G is H-saturated if G does not contain H as a subgraph but for any nonadjacent vertices u and v, G+uv containsH as a subgraph. The parameter sat(H, n) is theminimum number of edges in an H-saturated graph of order n. In this paper, we determine sat(H, n) for sufficiently large nwhen H is a union of cliques of the same order, an arbitrary union of two cliques and a generalized friendship...

the purpose of this study is to investigate the relation between identity styles and commitment with quality of friendship among the students in third grade of high school. 400 participants from nineteen educational districts were chosen randomly. three quesnonnaires were used: identity style inventory, the quality of friendship, the reciprocity of friendship . the results indicated that inform...

The Friendship theorem states that if any two people in a party have exactly one common friend, then there exists a politician who is a friend of everybody. In this paper, we generalize the Friendship Theorem. Let λ be any nonnegative integer and μ be any positive integer. Suppose each pair of friends have exactly λ common friends and each pair of strangers have exactly μ common friends in a pa...

Friendship is a close relationship in which people share mutual activities, develop social network, fell accepted, help each other, and develop trust, mutual respect, and affection (Aronson, Wilson, & Akert, 2005). Quality of friendship depends on the sex of friends; friendships among women are characterized by more closeness, while men’s friendships are based on the mutual activity (Bank & Han...

Family education and growing psychological problems in junior high school students have raised serious concerns recent years. This study investigated the relationship between strict parental discipline problem behavior students. 1,067 Junior were enrolled based on several variables –strict discipline, self-esteem level friendship quality –to examine their age group. Our found that: (1) could co...

This Article's central argument is that the law needs to do a better job of recognizing, protecting, respecting, and promoting friendships. The law gives pride of place to other statuses-family and special professional relationships are obvious ones-but the status of the friend is rarely relevant to legal decisionmaking and public policymaking in a consistent way. After defining the concept of ...