논문KCI 등재
VL Status Index and Co-index of Connected Graphs
1
조회
0
다운로드
0
인용
0
참고문헌
키워드
주제분류수학
초록
The status σG(u) of a vertex u in a connected graph G is defined as the sum of the distances between u and all other vertices of G. In this paper some relations over VL status index and VL status co-index of connected graphs are established. Furthermore distinguished examples for k-transmission regular graphs and nanostructures of VL status indices are computed.
Abstract
The status σG(u) of a vertex u in a connected graph G is defined as the sum of the distances between u and all other vertices of G. In this paper some relations over VL status index and VL status co-index of connected graphs are established. Furthermore distinguished examples for k-transmission regular graphs and nanostructures of VL status indices are computed.
참고문헌 (21)
- N. Akgunes, "On the first Zagreb index and multiplicative Zagreb coindices of graphs", Analele Stiintifice ale Universitatii Ovidius Constanta, 24(1) (2016)
- M. Aouchiche, "On a conjecture about the Szeged index", European J. Combin, 31, pp.1662~1666 (2010)
- A.R. Ashrafi, "The Mathematics and Topology of Fullerenes", pp.21~38 (2010), Springer Netherlands
- J.A. Bondy, "Graph theory with applications" (1976), American Elsevier Publishing Co
- F. Buckley, "Distance in Graphs" (1990), Addison–Wesley
- M.R. Darafsheh, "Computation of topological indices of some graphs", Acta Appl. Math, 110, pp.1225~1235 (2010)
- T. Deepika, "VL Index and bounds for the tensor products of F- sum graphs", TWMS J. App. Eng. Math, 11(2) (2021)
- I. Gutman, "Graph theory and Molecular orbitals. Total p-electron energy of alternant hydrocarbons", Chem. Phys. Lett, 17, pp.535~538 (1972)
- F. Harary, "Status and Contrastatus", Sociometry, 22, pp.23~43 (1959)
- V. Lokesha, "Operation of nanostructures via SDD, ABC4 and GA5 indices", Appl. Math. Nonlinear Sci, 2(1), pp.173~180 (2017)
- V. Lokesha, "SK Indices, forgotten topological indices and hyper Zagreb index of Q operator of carbon nanocone", TWMS J. App. Eng. Math, 9(3), pp.675~680 (2019)
- V. Lokesha, "Some Computational Aspects of Carbon Nanocone using Q(G) Operator, Hexagonal Network and Probabilistic Neural Network", Creative Math. Infor, 28(1), pp.69~76 (2019)
- V. Lokesha, "VL Reciprocal Status Index and Co-index of Graphs", J. Math
- R. Mohammadyari, "Topological indices of the Kneser graph KGn,k", Filomat, 26, pp.665~672 (2012)
- H.S. Ramane, "Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons", J. Appl. Math. Comput, 55(1-2), pp.609~627 (2017)
- H.S. Ramane, "Transmission and Reciprocal Transmission Based Topological Co-Indices of Graphs", European J. Pure Appl. Math, 13(5), pp.1057~1071 (2020)
- R. Todeschini, "Handbook of Molecular Descriptors" (2000), Wiley-VCH
- R. Todeschini, "Molecular Descriptors for Chemoinformatics, 1, 2" (2009), Wiley-VCH
- M. Togan, "Zagreb indices and multiplicative Zagreb indices of double graphs of subdivision graphs", TWMS J. App. Eng. Math, 9(2), pp.404~412 (2019)
- H. Wiener, "Structural determination of paraffin boiling points", J. Amer. Chem. Soc, 69, pp.17~20 (1947)
- S.Yousefi, "Computing Wiener and Szeged indices of an achiral polyhex nanotorus", JSUT, 33, pp.7~11 (2008)
관련 논문AI추천
VL RECIPROCAL STATUS INDEX AND COINDEX OF CONNECTED GRAPHSShanthakumari Y, S. Suvarna, V. Lokesha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제3호VL-total eccentricity index and VL- hyper total eccentricity index of some standard graphsDEEPIKA T, MAHALAKSHMI P, NARENDRA V. H, V.LOKESHA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호Reciprocal Edge Transmission Based Topological Indices of GraphsHarishchandra S. Ramane, Saroja Y. Talwar장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제4호Distance Eccentric Connectivity Index of GraphsAkram Alqesmah, Anwar Saleh, Aysun Yurttas Gunes, Ismail Naci CANGUL, R. Rangarajan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2021 · 제61권 제1호Some topological indices of edge-neighborhood corona of two graphsMalpashree R., Rakshith B. R., Sumithra장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제3호Status Sum Eigenvalues and Energy of GraphsHarishchandra S. Ramane, Ismail Naci CANGUL, Saroja Y. Talwar장전수학회 · Advanced Studies in Contemporary Mathematics2020 · 제30권 제1호
이 간행물의 다른 논문 (10건)
GROUP PSEUDOREPRESENTATIONS THAT ARE TRIVIAL ON A NORMAL SUBGROUPA. I. Shternpp. 269-274SOME MODIFIED REDUCTION FORMULAS FOR THE GAUSS AND CLAUSEN HYPERGEOMETRIC FUNCTIONSSHAKIR HUSSAIN MALIK, M. I. QURESHI, H. M. Srivastavapp. 275-283ON MINIMUM DEGREE ENERGY OF GRAPHSC. S. Shivakumar Swamypp. 297-307METRIC DIMENSION AND ITS VARIATIONS OF CHAIN GRAPHSSUDHAKARA G, K ARATHI BHAT, SHAHISTHA HANIFpp. 309-321SOME IDENTITIES OF THE DEGENERATE BERNOULLI POLYNOMIALS OF THE SECOND KIND ARISING FROM λ-SHEFFER SEQUENCES박진우, 김병문, 권종겸pp. 323-342
