A note on fold thickness of graphs

Abstract A 1-fold of G is the graph G0 obtained from a graph G by identifying two nonadjacent vertices in G having at least one common neighbor and reducing the resulting multiple edges to simple edges. A uniform k-folding of a graph G is a sequence of graphs G = G0, G1, G2,...,Gk, where Gi+1 is a 1-fold of Gi for i = 0, 1, 2,...,k − 1 such that all graphs in the sequence are singular or all of them are nonsingular. The largest k for which there exists a uniform k- folding of G is called fold thickness of G and this concept was first introduced in [1]. In this paper, we determine fold thickness of corona product graph G ʘ , G ʘ S , and graph join G + .

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Bibliographic Details
Main Authors: Reji,T., Vaishnavi,S., H. Campeña,Francis Joseph
Format: Digital revista
Language:English
Published: Universidad Católica del Norte, Departamento de Matemáticas 2023
Online Access:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172023000100167
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