TY - JOUR AU - Nasiri, Ramin PY - 2019/12/30 Y2 - 2024/03/28 TI - The reciprocal complementary Wiener number of graphs JF - Tamkang Journal of Mathematics JA - Tamkang J. Math. VL - 50 IS - 4 SE - Papers DO - 10.5556/j.tkjm.50.2019.2714 UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/2714 SP - 371-381 AB - <p>The reciprocal complementary Wiener number (RCW) of a connected graph G is defined as the sum of<br />weights frac{1}{D+1-d_G(x,y)} over all unordered vertex pairs in a graph G, where D is the diameter of G<br />and d_G(x,y) is the distance between vertices x and y. In this paper, we find new bounds for RCW of<br />graphs, and study this invariant of two important types of graphs, named the Bar-Polyhex and the<br />Mycielskian graphs.</p> ER -