COLOR LAPLACIAN ENERGY OF A GRAPH
1
조회
0
다운로드
3
인용
0
참고문헌
키워드
초록
In this paper, we introduce a new concept of color Laplacian energy LEc(G). It depends on the underlying graph G and colors of the vertices. We compute color Laplacian spectrum and color Laplacian energies of families of graph with minimum number of colors. We also obtain some bounds of color Laplacian energy. The color Laplacian energy for the colored complement of few families of graphs are also obtained.
Abstract
In this paper, we introduce a new concept of color Laplacian energy LEc(G). It depends on the underlying graph G and colors of the vertices. We compute color Laplacian spectrum and color Laplacian energies of families of graph with minimum number of colors. We also obtain some bounds of color Laplacian energy. The color Laplacian energy for the colored complement of few families of graphs are also obtained.
참고문헌 (16)
- Chandrashekar Adiga, "Colored energy of a graph", Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집), 16(3), pp.335~351 (2013), 장전수학회
- C. Adiga, "Color energy of a unitary Cayley graph", Discussiones Mathematicae Graph Theory, 35, pp.707~721 (2013)
- R. Balakrishnan, "The energy of a graph", Linear Algebra Appl., 387, pp.287~295 (2004)
- R. B. Bapat, "Graphs and matrices" (2011), Springer - Hindustan Book Agency
- R. B. Bapat, "Energy of a graph is never an odd integer", Bull. Kerala Math. Assoc., 1, pp.129~132 (2004)
- Chandrashekar Adiga, "The minimum covering energy of a graph", Kragujevac J.Sci., 34, pp.39~56 (2012)
- Frank Harary, "Graph Theory" (1989), Narosa Publishing House
- I. Gutman, "Laplacian energy of a graph", Lin. Algebra Appl., 414, pp.29~37 (2006)
- I. Gutman, "The energy of a graph", Ber. Math. Stat. Sekt. Forschungsz. Graz., 103, pp.1~22 (1978)
- I. Gutman, "Algebraic combinatorics and applications", pp.196~211 (2001), Springer-Verlag
- G. Indulal, "On distance energy of graphs", MATCH Commun. Math. Comput. Chem., 60, pp.461~472 (2008)
- Pradeep G. Bhat, "Energy of binary labeled graph", Trans. Comb., 2(3), pp.53~67 (2013)
- E. Sampathkumar, "Vertex labeled", Colored Graphs, Matrices and Signed graphs, 2012, pp.37, 221~230
- Xueliang Li, "Graph Energy" (2010), Springer
- B. Zhou, "A note on Laplacian energy of graphs", MATCH Commun. Math. Comput. Chem, 60, pp.441~446 (2008)
- B. Zhou, "More on energy and Laplacian energy", MATCH Commun. Math. Comput. Chem., 64, pp.75~84 (2010)