Shahid Rajaee Teacher Training University Journal of Discrete Mathematics and Its Applications 2981-0809 8 3 2023 09 01 Edge deletion and symmetric division degree index of graphs 137 145 2025 10.22061/jdma.2023.9811.1053 EN Najaf Amraei Department of Mathematics, Shahid Rajaee Teacher Training University, Lavizan, 16785-163, Tehran, I. R. Iran Ali Zaeembashi Journal Article 2023 06 20 The symmetric division deg index (or simply SDD) was proposed by Vukicevic et al. as a remarkable predictor of total surface area of polychlorobiphenyls. We are interested in how the SDD of a graph changes when edges are deleted. The obtained results show that all cases are possible: increased, decreased and unchanged. In this article, we present some necessary conditions for the occurrence of each of the three different states. Topological index degree based index symmetric division degree index edge deletion https://jdma.sru.ac.ir/article_2025_ddf15b8889d8531e576d348806bb1d95.pdf