ON TOPOLOGICAL PROPERTIES OF PLANE GRAPHS BY USING LINE OPERATOR ON THEIR SUBDIVISIONS

DOI10.17654/DM019040479zbMath1425.05036MaRDI QIDQ4973426

Mohamad Nazri Husin, Zohaib Zahid, Sohail Zafar, Fatima Asif, Muhammad Reza Farahani

Publication date: 27 November 2019

Published in: Advances and Applications in Discrete Mathematics (Search for Journal in Brave)

zbMATH Keywords

line graphconvex polytopestopological indices

Mathematics Subject Classification ID

Trees (05C05) Graph polynomials (05C31) Planar graphs; geometric and topological aspects of graph theory (05C10) Coloring of graphs and hypergraphs (05C15) Distance in graphs (05C12)

Cites Work

• On degree resistance distance of cacti
• Asymptotic Laplacian-energy-like invariant of lattices
• On the Zagreb indices of the line graphs of the subdivision graphs
• On topological properties of the line graphs of subdivision graphs of certain nanostructures
• Complete characterization of bicyclic graphs with minimal Kirchhoff index
• The metric dimension of some generalized Petersen graphs
• On certain topological indices of the line graph of subdivision graphs
• Minimizing Kirchhoff index among graphs with a given vertex bipartiteness
• On the maximum ABC index of graphs without pendent vertices
• Total domination and open packing in some chemical graphs
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