# When , edge is taken as a single

When , edge is taken as a single edge while considering the degree of a vertex, but as a double edge while counting number of edges or cycles in [3, 6-10, 13, 14, 17, 18, 21].We generally write for and for , the null graph on vertices. Transcribed image text: 2. If G and H are stars of orders a and b respectively then GH is a graph with adjacency matrix where C is an adjacency matrix of a star of order (a l)(b 1) + 1 Algebraic operations on graphs such as Cartesian product, Kronecker product, and direct sum can be used to generate new graphs from parent graphs. The related matrix - the adjacency matrix of a graph and its eigenvalues were much more investigated in the past than the Laplacian matrix. I've been spending some of my free time working on an application that runs on top of meetup.com's API and one of the queries I wanted to write was to find the common members between 2 meetup groups. 2. The Cartesian product is commutative and associative, i.e., the products G 1 G 2 and G 2 G 1 are isomorphic; similarly (G 1 G 2) G 3 and G 1 (G 2 G 3) are isomorphic. 2. the fitness variable is reverse of it's meaning in code. Adjacency Matrix of A Bipartite Graph. For the Cartesian product we characterize balance and compute expressions for the Laplacian eigenvalues and Laplacian energy. For the Cartesian product we characterize balance and compute expressions for the Laplacian eigenvalues and Laplacian energy. 