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

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

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.

scholarly journals Topological Indices of Para-line Graphs of V-Phenylenic Nanostructures

2019 ◽  
Vol 17 (1) ◽  
pp. 260-266 ◽  
Author(s):  
Imran Nadeem ◽  
Hani Shaker ◽  
Muhammad Hussain ◽  
Asim Naseem
Keyword(s):  
Chemical Properties ◽  
Topological Indices ◽  
Structural Chemistry ◽  
Line Graphs ◽  
Physical And Chemical Properties ◽  
Graph Invariants ◽  
Molecular Graphs ◽  
Physical And Chemical ◽  
And Chemical Properties

Abstract The degree-based topological indices are numerical graph invariants which are used to correlate the physical and chemical properties of a molecule with its structure. Para-line graphs are used to represent the structures of molecules in another way and these representations are important in structural chemistry. In this article, we study certain well-known degree-based topological indices for the para-line graphs of V-Phenylenic 2D lattice, V-Phenylenic nanotube and nanotorus by using the symmetries of their molecular graphs.

Bicyclic signed graphs with at most one odd cycle and maximal energy

2019 ◽  
Vol 260 ◽  
pp. 244-255
Author(s):  
Dijian Wang ◽  
Yaoping Hou
Keyword(s):  
Signed Graphs ◽  
Maximal Energy ◽  
Odd Cycle

scholarly journals Hamiltonicity of 3-connected line graphs

2012 ◽  
Vol 25 (11) ◽  
pp. 1835-1838 ◽  
Author(s):  
Weihua Yang ◽  
Liming Xiong ◽  
Hongjian Lai ◽  
Xiaofeng Guo
Keyword(s):  
Line Graphs
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