The effect of edge and vertex deletion on omega invariant

Author:

Delen Sadik1,Togan Muge1,Yurttas Aysun1,Ana Ugur1,Cangu Ismail2

Affiliation:

1. Faculty of Arts and Science, Department of Mathematics, Bursa Uludag University, Bursa, Turkey

2. Ismail Naci Cangu Faculty of Arts and Science, Department of Mathematics, Bursa Uludag University, Bursa, Turkey

Abstract

Recently the first and last authors defined a new graph characteristic called omega related to Euler characteristic to determine several topological and combinatorial properties of a given graph. This new characteristic is defined in terms of a given degree sequence as a graph invariant and gives a lot of information on the realizability, number of realizations, connectedness, cyclicness, number of components, chords, loops, pendant edges, faces, bridges etc. of the family of realizations. In this paper, the effect of the deletion of vertices and edges from a graph on omega invariant is studied.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

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5. Independence number of graphs and line graphs of trees by means of omega invariant;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2020-02-26

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