In this paper, we give necessary and sufficient conditions for the existence of equitable partial 4-cycle and 5-cycle systems. Furthermore, we construct equitable partial 4-cycle and 6-cycle systems of Kn,n'

Theory of human relatedness addresses a pervasive human concern, establishing and maintaining relatedness to others, objects, environments, society and self. This theory, derived from a series of inductive and deductive strategies, views relatedness as a functional, behavioral system rooted in early attachment behaviors. Individuals move through different states of relatedness including connect...

How does organizational identity affect team functioning? We articulate and test an identity instrumentality hypothesis that suggests that organizational identity (1) directly predicts those aspects of team functioning that enable, and are instrumental in, employees’ fulfillment of their identity with the organization; and (2) indirectly predicts other aspects of team functioning not instrument...

Positional analysis is considered an important tool in the analysis of social networks. It involves partitioning of the set of actors into subsets such that actors in a subset are similar in their structural relationships with other actors. Traditional methods of positional analysis such as structural equivalence, regular equivalence, and equitable partitions are either too strict or too generi...

A graph is equitably k-colorable if its vertices can be partitioned into k independent sets in such a way that the number of vertices in any two sets differ by at most one. The smallest k for which such a coloring exists is known as the equitable chromatic number of G and denoted χ=(G). It is known that this problem is NP-hard in general case and remains so for corona graphs. In [12] Lin i Chan...