Definition A graph $G = (V(G), E(G))$ is said to be Bipartite if and only if there exists a partition $V(G) = A \cup B$ and $A \cap B = \emptyset$ Hence all edges share a vertex from both set $A$ and $B$ , and there are no edges formed between two vertices in the set $A$ , and there are not edges formed between the two vertices in $B$ The concentrations of N 2 O 5 as a function of time are listed in the following table, together with the natural logarithms and reciprocal N 2 O 5 concentrations Plot a graph of the concentration versus t, ln concentration versus t, and 1/concentration versus t and then determine the rate law and calculate the rate constantMarkov chain whose states are graphs on V This Markov chain is a model of the evolution of a random graph (rg) with vertex set V The evolution of random graphs was first studied by Erdös and Rényi 57 They investigated the least values of t for which certain properties are likely to
Graph Coloring Wikipedia