PATHOS VERTEX SEMI-MIDDLE GRAPH OF A TREE

Rajendra Prasad KC; Venkanagouda M. Goudar; Niranjan KM

Rajendra Prasad KC Department of Mathematics, Jain Institute of Technology, Davangere - 577003, Affiliated to Visvesvaraya Technological University, Belagavi, Karnataka,

Venkanagouda M. Goudar Department of Mathematics, Sri Siddhartha Institute of Technology, Tumkur - 572105, Karnataka INDIA

Niranjan KM Department of Mathematics, UBDT College of Engineering, Davangere - 577004, Karnataka, INDIA

Volume 16, Issue 1 Pages 171-176 April 30, 2020 269 downloads

Article overview

Abstract

In this communication, the pathos vertex semi-middle graph of a tree is introduced. Its study is concentrated only on trees. We present a characterization of those graphs whose pathos vertex semi-middle graph of a tree is planar, crossing number one and crossing number two. Also we establish a characterization of graphs whose pathos vertex semi-middle graph of a tree is noneulerian, hamiltonian.

Keywords and Phrases

Crossing numberMiddle graphPlanarSemientire graph.

AMS Subject Classification

05C05, 05C10, 05C45, 05C75.

Reference information

How to Cite

Rajendra Prasad KC, Venkanagouda M. Goudar, Niranjan KM (2020). PATHOS VERTEX SEMI-MIDDLE GRAPH OF A TREE. South East Asian Journal of Mathematics and Mathematical Sciences, 16(1), 171-176.

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