In social networks, a role assignment is such that individuals play the same role, if they relate in way to other playing counterpart roles. As simple graph models network rises decision problem called r -Role Assignment whether it exists an of distinct roles vertices graph. This known be NP-complete for any fixed ? 2. The Cartesian product graphs one most studied operation on and has numerous ...

A finite switchboard state machine is a specialized finite state machine. It is built by binding the concepts of switching state machines and commutative state machines. The main purpose of this paper is to give a specific algorithm for fuzzy finite switchboard state machine and also, investigates the concepts of switching relation, covering, restricted cascade products and wreath products of f...

We show that the character space of the vector-valued Lipschitz algebra $Lip^{alpha}(X, E)$ of order $alpha$ is homeomorphic to the cartesian product $Xtimes M_E$ in the product topology, where $X$ is a compact metric space and $E$ is a unital commutative Banach algebra. We also characterize the form of each character on $Lip^{alpha}(X, E)$. By appealing to the injective tensor product, we the...