CHROMATIC BOUNDS OF A LINE GRAPH USING SIGNLESS LAPLACIAN VALUES

被引:0
作者
Mittal, Kajal [1 ]
Kekre, Pranjali [1 ]
机构
[1] Med Caps Univ, Dept Math, Pigdamber 453331, India
来源
ADVANCES AND APPLICATIONS IN DISCRETE MATHEMATICS | 2025年 / 42卷 / 01期
关键词
line graph; chromatic number; domination number; signless Laplacian matrix; spectrum; EIGENVALUE; NUMBER;
D O I
10.17654/0974165825004
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we utilize the signless Laplacian eigenvalues of line graphs and the dominant number to determine the limits of chromatic numbers for the line graphs of certain special graphs. The application of Vizing's theorem helps to justify the existence of larger boundaries in this particular case.
引用
收藏
页码:55 / 68
页数:14
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