University of Kashan Iranian Journal of Mathematical Chemistry 2228-6489 17 2 2026 06 01 Topological Indices and Disjoint Path Cover Property of Graphs 201 216 115590 10.22052/ijmc.2026.257594.2067 EN Honggang Zhao College of Mathematics and System Sciences‎, ‎Xinjiang University‎, ‎Urumqi‎, 830046‎, ‎P‎. ‎R‎. ‎China Eminjan Sabir College of Mathematics and System Sciences‎, ‎Xinjiang University‎, ‎Urumqi‎, 830046‎, ‎P‎. ‎R‎. ‎China Journal Article 2025 09 16 ‎The disjoint path cover problem is closely related to the well-known Hamiltonian problem‎, ‎which is a fundamental concept in graph theory‎. ‎In the domains of bioinformatics and neuroinformatics‎, ‎the existence of a disjoint path cover indicates the cascade effect within the signal transduction system and the reaction occurring in a metabolic pathway‎. ‎One of the core subjects in exploring the disjoint path cover problem is to develop sufficient conditions‎. ‎In this paper‎, ‎we provide novel sufficient conditions‎, ‎with respect to some significant topological indices including Harary index‎, ‎first Zagreb index‎, ‎forgotten topological index‎, ‎reciprocal degree distance‎, ‎eccentric connectivity index‎, ‎eccentric distance sum, and connective eccentric index‎, ‎for a connected graph to be disjoint path coverable‎. Hamiltonian Disjoint path covers topological index https://ijmc.kashanu.ac.ir/article_115590_603a045d62fb25e25661a3920393205c.pdf