شماره ركورد كنفرانس :
5263
عنوان مقاله :
On k−STI Graphs
پديدآورندگان :
Alizadeh Yaser y.alizadeh@hsu.ac.ir Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran , Molaee Zohre zohremolaeegm@gmail.com Department of Mathematics, Hakim Sabzevari University, Sabzevar, Iran
كليدواژه :
transmission of vertex , imbalance transmission , k−STI graph
عنوان كنفرانس :
54 امين كنفرانس رياضي ايران
چكيده فارسي :
Transmission of a vertex u in a simple connected graphG, T rG(u) is sum of distances from u to all other vertices. GraphG is called stepwise transmission irregular (STI) graph if the relation |T rG(u) − T rG(v)| = 1 holds for any pair of adjacent verticesof G. In this paper, we investigate a generalized version of STIgraph as k−STI graph (k ≥ 1) in which |T rG(u) − T rG(v)| = kholds for any edge uv of G.
