TY - JOUR
ID - 133702
TI - Further Results On F-average Eccentric Graphs
JO - Int. J. of Aquatic Science
JA - IJAS
LA - en
SN -
AU - Sathiyanandham, T.
AU - Arockiaraj, S.
AD - Department of Mathematics, Government Arts and Science College, Sivakasi, India.
Y1 - 2021
PY - 2021
VL - 12
IS - 2
SP - 2499
EP - 2512
KW - 𝑭-average eccentric vertex
KW - 𝑭-average eccentric graph
DO -
N2 - The 𝑭-average eccentric graph 𝑨𝑬𝑭(𝑮) of a graph 𝑮 has the vertex set as in 𝑮 and any two vertices 𝒖 and 𝒗 are adjacent in 𝑨𝑬𝑭(𝑮) if either they are at a distance ⌊𝒆(𝒖)+𝒆(𝒗)𝟐⌋ while 𝑮 is connected or they belong to different components while 𝑮 is disconnected. A graph 𝑮 is called a 𝑭-average eccentric graph if 𝑨𝑬𝑭(𝑯)≅𝑮 for some graph 𝑯. In this paper, we find some sufficient conditions for a disconnected graph to be or not to be a 𝑭-average eccentric graph.
UR - https://www.journal-aquaticscience.com/article_133702.html
L1 - https://www.journal-aquaticscience.com/article_133702_739c5d1a11c9dead62cfdfb85c12a716.pdf
ER -