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On Upper Bound Graphs with Respect to Unary Operations on Graphs

โœ Scribed by Hiroshi Era; Kenjiro Ogawa; Morimasa Tsuchida


Book ID
105764610
Publisher
Springer
Year
2002
Tongue
English
Weight
76 KB
Volume
6
Category
Article
ISSN
0218-0006

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For k 3 0, pk(G) den ot e s the Lick-White vertex partition number of G. A graph G is called (n, k)-critical 'f 't I I is connected and for each edge e of G Pk (G -e) < pk (G) = n. We describe all (2, k&critical graphs and for n 23, k 2 1 we extend and simplify a result of Bollobas and Harary giving