Premium
Class‐reconstruction of total graphs
Author(s) -
Bange David W.,
Barkauskas Anthony E.,
Host Linda H.
Publication year - 1987
Publication title -
journal of graph theory
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 54
eISSN - 1097-0118
pISSN - 0364-9024
DOI - 10.1002/jgt.3190110212
Subject(s) - combinatorics , mathematics , vertex (graph theory) , graph , windmill graph , discrete mathematics , symmetric graph , line graph , graph power , voltage graph
It is shown that given any vertex‐deleted total graph, every reconstruction into a total graph by the addition of a vertex yields the original total graph. The proof indicates how the reconstruction can be done.