### Abstract

In this paper, we introduce a new concept of color Laplacian energy LE_{c}(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.

Original language | English |
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Pages (from-to) | 321-330 |

Number of pages | 10 |

Journal | Proceedings of the Jangjeon Mathematical Society |

Volume | 18 |

Issue number | 3 |

Publication status | Published - 01-01-2015 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)

### Cite this

*Proceedings of the Jangjeon Mathematical Society*,

*18*(3), 321-330.

}

*Proceedings of the Jangjeon Mathematical Society*, vol. 18, no. 3, pp. 321-330.

**Color Laplacian energy of a graph.** / Bhat, Pradeep G.; D'Souza, Sabitha.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Color Laplacian energy of a graph

AU - Bhat, Pradeep G.

AU - D'Souza, Sabitha

PY - 2015/1/1

Y1 - 2015/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84938517973&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84938517973&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:84938517973

VL - 18

SP - 321

EP - 330

JO - Proceedings of the Jangjeon Mathematical Society

JF - Proceedings of the Jangjeon Mathematical Society

SN - 1598-7264

IS - 3

ER -