%0 Journal Article
%T On reverse degree distance of unicyclic graphs
%J Bulletin of the Iranian Mathematical Society
%I Iranian Mathematical Society (IMS)
%Z 1017-060X
%A Du, Z.
%A Zhou, B.
%D 2013
%\ 09/01/2013
%V 39
%N 4
%P 681-706
%! On reverse degree distance of unicyclic graphs
%K reverse degree distance
%K diameter
%K pendant vertices
%K maximum degree
%K unicyclic graphs
%R
%X The reverse degree distance of a connected graph $G$ is defined in discrete mathematical chemistry as [ r (G)=2(n-1)md-sum_{uin V(G)}d_G(u)D_G(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $G$, respectively, $d_G(u)$ is the degree of vertex $u$, $D_G(u)$ is the sum of distance between vertex $u$ and all other vertices of $G$, and $V(G)$ is the vertex set of $G$. We determine the unicyclic graphs of given girth, number of pendant vertices and maximum degree, respectively, with maximum reverse degree distances. We also determine the unicyclic graphs of given number of vertices, girth and diameter with minimum degree distance.
%U http://bims.iranjournals.ir/article_437_7a694edd090f25ab56c01b6e0653732b.pdf