For every undirected graph, Tutte [3] defined a polynomial TG(x;y) in two variables which plays an important role in graph theory.Now this polynomial is cal
There are two kinds of perfect t-deletion-correcting codes of length k over an alphabet of size v, those where the coordinates may be equal and those where
In this talk I report some results on the graphs with a unique perfect matching.One of them is a strengthening of Kotzigs theorem, which says that if a conn
Let Tn(d) be the set of all trees with n vertices, diameter d and perfect matchings.We will show that the Laplacian energy of any tree in Tn(d), where d =4,
Depicting the automorphism group of any graph is the worlds problem, so it is necessary to depict special graphs.The article determined the automorphism gro
Let Gσbe a weighted oriented graph with skew adjacency matrix S(Gσ).For an n × n real skew symmetric matrix S, the weighted oriented graph as-sociated to
For a graph G and two positive integers j and k, an m-L(j, k)-edge-labeling of G is an assignment on the edges to the set {0, 1, 2,..., m}, such that adjace