본문 바로가기
KERD
논문KCI 등재

Partition Laplacian energy of a graph

Ismail Naci CANGUL|P.Siva Kota Reddy|K. N. Prakasha
장전수학회 (Jangjeon Mathematical Society)|2017.10|Advanced Studies in Contemporary Mathematics|제27권 제4호|pp. 477-494|DOI http://dx.doi.org/10.17777/ascm2017.27.4.477

2

조회

0

다운로드

4

인용

0

참고문헌

키워드

k-Partition Laplacian eigenvaluesk-Partition Laplacian energyk-Complementk(i)-Complement
주제분류수학

초록

The partition energy of a graph was introduced by E. Sampathkumar et al. in [19] in 2015. In this paper, by the motivation of this new energy, the partition Laplacian energy LEp(G) of a graph is introduced and the LEp(G) of some important graph classes is discussed. Also, we obtain some bounds for the partition Laplacian energy.

Abstract

The partition energy of a graph was introduced by E. Sampathkumar et al. in [19] in 2015. In this paper, by the motivation of this new energy, the partition Laplacian energy LEp(G) of a graph is introduced and the LEp(G) of some important graph classes is discussed. Also, we obtain some bounds for the partition Laplacian energy.

참고문헌 (23)

  1. C. Adiga, "On maximum degree energy of a graph", Int. J. Contemp. Math. Sciences, 4(8), pp.385~396 (2009)
  2. C. Adiga, "Bounds on the largest minimum degree eigenvalues of graphs", Int. Math. Forum, 5(37), pp.1823~1831 (2010)
  3. C. Adiga, "The skew energy of a digraph", Linear Algebra Appl, 432, pp.1825~1835 (2010)
  4. C. Adiga, "The minimum covering energy of a graph", Kragujevac J. Sci, 34, pp.39~56 (2012)
  5. Chandrashekar Adiga, "Colored energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.335~351 (2013), 장전수학회
  6. R. B. Bapat, "Energy of a graph is never an odd integer", Bull. Kerala Math. Assoc, 1, pp.129~132 (2004)
  7. P. G. Bhat, "COLOR LAPLACIAN ENERGY OF A GRAPH", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(3), pp.321~330 (2015), 장전수학회
  8. D. M. Cvetkovic, "Academic Press" (1980), New York
  9. P. J. Davis, "Wiley" (1979), New York
  10. N. N. M. de Abreu, "The Laplacian energy of some Laplacian integral graphs", MATCH Commun. Math. Comput. Chem, 60, pp.447~460 (2008)
  11. H. J. Finck, "Vollstandiges Produkt, chromatische Zahl and charakteristisches Polynom regularer Graphen", II. Wiss. Z. TH Ilme-nau, 11, pp.81~87 (1965)
  12. I. Gutman, "The energy of a graph", Ber. Math. Stat. Sekt. Forschungsz. Graz, 103, pp.1~22 (1978)
  13. I. Gutman, "Laplacian energy of a graph", Linear Algebra Appl, 414, pp.29~37 (2006)
  14. F. Harary, "Graph Theory" (1969), Addison-Wesley Publishing
  15. G. Indulal, "On distance energy of graphs", Match Commun. Math. Comput. Chem, 60, pp.461~472 (2008)
  16. J. Liu, "On relation between energy and Laplacian energy", Math. Comput. Chem, 61, pp.403~406 (2009)
  17. M. R. Rajesh Kanna, "Minimum dominating energy of a graph", Int. J. Appl. Math, 85(4), pp.707~718 (2013)
  18. E. Sampathkumar, "Generalized complements of a graph", Indian J. Pure Appl. Math, 29(6), pp.625~639 (1998)
  19. E. Sampathkumar, "Partition energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 18(4), pp.473~493 (2015), 장전수학회
  20. E. Sampathkumar, "Vertex labeled", colored graphs, matrices and signed graphs, 2013, pp.38(1-4), 113~120
  21. B. Zhou, "On Laplacian energy of graphs", Match Commun. Math. Comput. Chem, 57, pp.211~220 (2007)
  22. B. Zhou, "A note on Laplacian energy of graphs", Match Commun. Math. Comput. Chem, 60, pp.441~446 (2008)
  23. B. Zhou, "On the sum of powers of the Laplacian eigenvalues of graphs", Linear Algebra Appl, 429, pp.2239~2246 (2008)

관련 논문AI추천

Partition 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 boundary dominating partition energy of certain graphsK. N. PRAKASHA, P. S. HEMAVATHI장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2025 · 제28권 제2호COLOR LAPLACIAN ENERGY OF A GRAPHP. G. Bhat, S. D'souza장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호Partition energy of some lexicographic product of two graphsB. C. Shwetha, C. R. Veena, M. A. Sriraj, S. V. Roopa장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제4호PARTITION SEIDEL ENERGY OF GRAPHSK ARATHI BHAT, Shashwath S Shetty장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2024 · 제27권 제3호Partition 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 제2호

이 간행물의 다른 논문 (17건)

A note on degenerate Eulerian numbers and polynomials김태균, 김대산pp. 431-440Degenerate Cauchy numbers and polynomials of the second kind김태균pp. 441-449A note on Carlitz's type q-Changhee numbers and polynomials김태균, 장관우, 권혁인, Dmitry V. Dolgypp. 451-459The convolution sums sum ∑m<n/8 σ1 (m) σ3 (n-8m) and ∑m<n/8 σ3 (m) σ1 (n-8m)김애란pp. 461-476Generalizations of Sherman's theorem by Montgomery identity and new Green functionsJ. Pecaric, M. ADIL KHAN, JAMROZ KHANpp. 495-514
원문 보기