Scopus İndeksli Yayınlar Koleksiyonu by Institution Author "Öz, Mert Sinan"
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Bounds for matching number of fundamental realizations according to new graph invariant omega
Öz, Mert Sinan; Cangul, I.N. (Jangjeon Research Institute for Mathematical Sciences and Physics, 2020)Matching number of a graph is one of the intensively studied areas in graph theory due to numerous applications of the matching and related notions. Recently, Delen and Cangul defined a new graph invariant denoted by ? ... -
Computing the Hosoya and the Merrifield-Simmons Indices of Two Special Benzenoid Systems
Öz, Mert Sinan; Cangul, Ismail Naci (University of Kashan, 2021)Gutman et al. gave some relations for computing the Hosoya indices of two special benzenoid systems Rn and Pn. In this paper, we compute the Hosoya index and Merrifield-Simmons index of Rn and Pn by means of introducing ... -
Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains
Öz, Mert Sinan; Cangul I.N. (Springer Science and Business Media Deutschland GmbH, 2021)In this paper, we introduce the Merrifield-Simmons vector defined at a path of corresponding double hexagonal (benzenoid) chain. By utilizing this vector, we present reduction formulae to compute the Merrifield-Simmons ... -
Matching number in relation with maximal-minimal nullity conditions and cyclomatic number by coefficient relations
Öz, Mert Sinan; Cangul, I.N. (Jangjeon Mathematical Society, 2019)Let G be a simple graph. So called K2 deletion process was recently introduced by Wang. A subgraph G' of G that is obtained as a result of some K i deletion process will be called as a crucial subgroup. Let f (G) and v(G') ...