Title of article :
ZAGREB INDICES and MULTIPLICATIVE ZAGREB INDICES OF DOUBLE GRAPHS OF SUBDIVISION GRAPHS
Author/Authors :
TOGAN, M Uludag University - Faculty of Arts & Science, Mathematics Department - Gorukle - Bursa ,Turkey , YURTTAS, A Uludag University - Faculty of Arts & Science, Mathematics Department - Gorukle - Bursa ,Turkey , CEVIK, A. S Selcuk University - Faculty of Science - Department of Mathematics - Konya, Turkey , CANGUL, I. N Uludag University - Faculty of Arts & Science, Mathematics Department - Gorukle - Bursa ,Turkey
Abstract :
Let G be a simple graph. The subdivision graph and the double graph are
the graphs obtained from a given graph G which have several properties related to the
properties of G. In this paper, the first and second Zagreb and multiplicative Zagreb
indices of double graphs, subdivision graphs, double graphs of the subdivision graphs and
subdivision graphs of the double graphs of G are obtained. In particular, these numbers
are calculated for the frequently used null, path, cycle, star, complete, complete bipartite
or tadpole graph.
Keywords :
Zagreb indices , multiplicative Zagreb indices , double graphs , subdivision graphs
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics