Co-even geodetic number of a graph

Let   be  a graph with vertex set  and edge set . If  is a set of vertices of , then  is the union of all sets  for  If then  is a geodetic set for . The geodetic number  is the minimum cardinality of a geodetic set. A geodetic set is called co- even geodetic set if the degree of vertex  is even num...

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Bibliographic Details
Published in:Ratio Mathematica
Main Authors: T Jebaraj, M Ayarlin Kirupa
Format: Article
Language:English
Published: Accademia Piceno Aprutina dei Velati 2022-12-01
Subjects:
Online Access:http://eiris.it/ojs/index.php/ratiomathematica/article/view/922
Description
Summary:Let   be  a graph with vertex set  and edge set . If  is a set of vertices of , then  is the union of all sets  for  If then  is a geodetic set for . The geodetic number  is the minimum cardinality of a geodetic set. A geodetic set is called co- even geodetic set if the degree of vertex  is even number for all . The cardinality of a smallest co-even geodetic set of , denoted by is the co- even geodetic number of . In this paper, we find the co- even geodetic number of certain graphs and complement graphs
ISSN:1592-7415
2282-8214