본문 바로가기
KERD
논문KCI 등재

Partition energy of some lexicographic product of two graphs

M. A. Sriraj|B. C. Shwetha|C. R. Veena|S. V. Roopa
장전수학회 (Jangjeon Mathematical Society)|2022.10|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제25권 제4호|pp. 435-454|DOI 10.17777/pjms.2022.25.4.008

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

lexicographic productk-partition eigenvaluesk-partition energycirculant matrixblock circulant matrix
주제분류수학

초록

In this paper, we consider some lexicographic product of two graphs G and H of the form Gm(Hn) and determine its m-partition energy. Also,we determine the partition energy with respect to their m-complement and m(i)-complement.

Abstract

In this paper, we consider some lexicographic product of two graphs G and H of the form Gm(Hn) and determine its m-partition energy. Also,we determine the partition energy with respect to their m-complement and m(i)-complement.

참고문헌 (18)

  1. C. Adiga, "The minimum covering energy of a graph", Kragujevac J. Sci, 34, pp.39~56 (2012)
  2. Chandrashekar Adiga, "Colored energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.335~351 (2013), 장전수학회
  3. N. Akgunes, "Some properties on the lexicographic product of graphs obtained by monogenic semigroups", Journal of Inequalities and Applications, 2013, pp.238~ (2013)
  4. N. Akgunes, "Some properties on the tensor product of graphs obtained by monogenic semigroups", Applied Mathematics and Computation, 235, pp.252~357 (2014)
  5. D. M. Cvetkovic, "Spectra of Graphs - Theory and Applications" (1980), Academic Press
  6. K. C. Das, "On Laplacian energy", MATCH Communications in Mathematical and in Computer Chemistry, 70(2), pp.689~696 (2013)
  7. K. C. Das, "On the Laplacian-energy-like invariant", Linear Algebra and Its Applications, 442, pp.58~68 (2014)
  8. P. J. Davis, "Circulant Matrices" (1979), Wiley
  9. A. Dilek G¨ung¨or, "On the Harary energy and Harary Estrada index of a graph", MATCH Communications in Mathematical and in Computer Chemistry, 64, pp.281~296 (2010)
  10. I. Gutman, "The energy of a graph", Ber. Math. Stat. Sekt. Forschungsz. Graz., 103, pp.1~22 (1978)
  11. W. Imrich, "Product graphs, Structure and Recognition" (2000), Wiley-Interscience
  12. X. Li, "Graph Energy" (2012), Springer
  13. Roopa S. V., "Partition energy of Amalgamation of Complete graphs and their Generalized Complements", Indian J. Discrete Mathematics, 2(1), pp.18~36 (2016)
  14. E. Sampathkumar, "Complement of a Graph: A Generalization", J.of Graphs and Combinatorics, 14(4), pp.377~392 (1998)
  15. E. Sampathkumar, "Generalized complements of a graph", Indian J. pure appl. Math, 29(6), pp.625~639 (1998)
  16. E. Sampathkumar, "Vertex labeled", colored graphs, matrices and signed graphs, 2014, pp.38, 113~120
  17. E. Sampathkumar, "Partition energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.473~493 (2015), 장전수학회
  18. E. Sampathkumar, "Partition energy of complete product of circulant graphs and some new class of graphs", Advanced Studies in Contemporary Mathematics, 28(2), pp.269~283 (2018), 장전수학회[DOI]

관련 논문AI추천

Partition Laplacian energy of a graphIsmail Naci CANGUL, K. N. Prakasha, P.Siva Kota Reddy장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제4호Partition energy of complete product of circulant graphs and some new class of graphsE. Sampathkumar, K. A. Vidya, M. A. Sriraj, S. V. Roopa장전수학회 · Advanced Studies in Contemporary Mathematics2018 · 제28권 제2호Partition energy of a graphE. Sampathkumar, K. A. Vidya, M. A. Sriraj, S. V. Roopa장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제4호Minimum Equitable Dominating Harary Energy of a GraphIsmail Naci CANGUL, K. N. PRAKASHA, PUSHPALATHA MAHALANK장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제1호Energy of partial complements of a graphGOWTHAM H. J., PRADEEP G. BHAT, SABITHA DSOUZA, SWATI NAYAK장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2019 · 제22권 제3호Minimum boundary dominating partition energy of certain graphsK. N. PRAKASHA, P. S. HEMAVATHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호

이 간행물의 다른 논문 (8건)

A ONE-DIMENSIONAL PSEUDOREPRESENTATION OF AN AMENABLE GROUP WITH A DEFECT LESS THAN 1/4 IS AN ORDINARY CHARACTER OF THE GROUPA. I. Shternpp. 365-368Reciprocal Edge Transmission Based Topological Indices of GraphsSaroja Y. Talwar, Harishchandra S. Ramanepp. 369-386MHD casson nanofluid with nonuniform heat source/sink and viscous dissipationShaila S. Benal, M. Biradar, J. V. Tawade, R. Yalapp. 387-400SKEW-ENERGY OF t-DUPLICATION GRAPHV. LOKESHA, SHANTHAKUMARI. Ypp. 401-405PROPERTIES AND FURTHER GENERALIZATION ON THE EXTENSION OF τ-GAUSS HYPERGEOMETRIC FUNCTIONP. Rai, B. Chauhan, A. Chaturvedipp. 407-414
원문 보기