A subset $S$ of vertex set $V(D)$ is an {em indpendent dominating set} of $D$ if $S$ is both an independent and a dominating set of $D$. The {em indpendent domination number}, $i(D)$ is the cardinality of the smallest independent dominating set of $D$. In this paper we calculate the independent domination number of the { em cartesian product} of two {em directed paths} $P_m$ and $P_n$ for arbi...

one of the main challenges in wireless sensor network is energy problem and life cycle of nodes in networks. several methods can be used for increasing life cycle of nodes. one of these methods is load balancing in nodes while transmitting data from source to destination. directed diffusion algorithm is one of declared methods in wireless sensor networks which is data-oriented algorithm. direct...

One of the main challenges in wireless sensor network is energy problem and life cycle of nodes in networks. Several methods can be used for increasing life cycle of nodes. One of these methods is load balancing in nodes while transmitting data from source to destination. Directed diffusion algorithm is one of declared methods in wireless sensor networks which is data-oriented algorithm. Direct...

One of the main challenges in wireless sensor network is energy problem and life cycle of nodes in networks. Several methods can be used for increasing life cycle of nodes. One of these methods is load balancing in nodes while transmitting data from source to destination. Directed diffusion algorithm is one of declared methods in wireless sensor networks which is data-oriented algorithm. Direct...

In this paper, we employ the decomposition of a directed network as an undirected graph plus its associated node meta-data to characterise cyclic structure found in networks by finding Minimal Cycle Basis and augmenting components with direction information. We show that only four classes cycles exist, they can be fully distinguished organisation number source–sink pairs their antichain structu...