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Graphs with prescribed connectivity and line graph connectivity
Author(s) -
Bauer Douglas,
Tindell Ralph
Publication year - 1979
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.3190030410
Subject(s) - combinatorics , mathematics , line graph , connectivity , graph , discrete mathematics , algebraic connectivity
Chartrand and Stewart have shown that the line graph of an n ‐connected graph is itself n ‐connected. This paper shows that for every pair of integers m > n > 1 there is a graph of point connectivity n whose line graph has point connectivity m . The corresponding question for line connectivity is also resolved.