We introduce a generic approach for counting subgraphs in a graph. The main idea is to relate counting subgraphs to counting graph homomorphisms. This approach provides new algori...
An ad hoc network is a collection of computers (nodes) that cooperate to forward packets for each other over a multihop wireless network. Users of such networks may wish to use de...
We initiate a direction for proving lower bounds on the size of non-commutative arithmetic circuits. This direction is based on a connection between lower bounds on the size of no...
Let S = s1, s2, s3, ..., sn be a given vector of n distinct real numbers. The rank of z R with respect to S is defined as the number of elements si S such that si z. We consider...
This paper contributes in two directions. First, several concepts of our matrix approach to graph transformation [1,2] such as coherence and minimal initial digraph are applied to ...