scholarly journals Eulerian subgraphs and Hamilton-connected line graphs

2005 ◽  
Vol 145 (3) ◽  
pp. 422-428 ◽  
Author(s):  
Dengxin Li ◽  
Hong-Jian Lai ◽  
Mingquan Zhan
Keyword(s):  
Line Graphs ◽  
Eulerian Subgraphs ◽  
Hamilton Connected

Eulerian subgraphs in 3-edge-connected graphs and Hamiltonian line graphs

2003 ◽  
Vol 42 (4) ◽  
pp. 308-319 ◽  
Author(s):  
Zhi-Hong Chen ◽  
Hong-Jian Lai ◽  
Xiangwen Li ◽  
Deying Li ◽  
Jinzhong Mao
Keyword(s):  
Line Graphs ◽  
Connected Graphs ◽  
Hamiltonian Line Graphs ◽  
Eulerian Subgraphs

A Condition on Hamilton-Connected Line Graphs

2022 ◽  
Author(s):  
Lan Lei ◽  
Jia Wei ◽  
Yikang Xie ◽  
Mingquan Zhan ◽  
Hong-Jian Lai
Keyword(s):  
Line Graphs ◽  
Hamilton Connected

scholarly journals The properties of anti-fuzzy line graphs regular

2021 ◽  
Vol 1872 (1) ◽  
pp. 012010
Author(s):  
Y Trisanti ◽  
T Nusantara
Keyword(s):  
Line Graphs

On maximal energy of line graphs with given parameters

2021 ◽  
Vol 619 ◽  
pp. 12-49
Author(s):  
Yiting Cai ◽  
Bo Zhou ◽  
Mengmeng Gao
Keyword(s):  
Line Graphs ◽  
Maximal Energy

Strongly even cycle decomposable 4-regular line graphs

2021 ◽  
Vol 94 ◽  
pp. 103315
Author(s):  
Wenzhong Liu ◽  
Jiancheng Wang ◽  
Qing Cui ◽  
Yan Yang
Keyword(s):  
Line Graphs ◽  
Regular Line

scholarly journals Topological invariants for the line graphs of some classes of graphs

2019 ◽  
Vol 17 (1) ◽  
pp. 1483-1490
Author(s):  
Xiaoqing Zhou ◽  
Mustafa Habib ◽  
Tariq Javeed Zia ◽  
Asim Naseem ◽  
Anila Hanif ◽  
...  
Keyword(s):  
Communication Theory ◽  
Chemical Reactivity ◽  
Line Graph ◽  
Chemical Properties ◽  
Topological Invariants ◽  
Line Graphs ◽  
Physical And Chemical Properties ◽  
Physical And Chemical ◽  
Ladder Graphs ◽  
And Chemical Properties

AbstractGraph theory plays important roles in the fields of electronic and electrical engineering. For example, it is critical in signal processing, networking, communication theory, and many other important topics. A topological index (TI) is a real number attached to graph networks and correlates the chemical networks with physical and chemical properties, as well as with chemical reactivity. In this paper, our aim is to compute degree-dependent TIs for the line graph of the Wheel and Ladder graphs. To perform these computations, we first computed M-polynomials and then from the M-polynomials we recovered nine degree-dependent TIs for the line graph of the Wheel and Ladder graphs.

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