Article ID Journal Published Year Pages File Type
4646974 Discrete Mathematics 2015 9 Pages PDF
Abstract

It is proved that if two graphs of order nn have n−pn−p cards (vertex-deleted subgraphs) in common, where p⩾3p⩾3, and nn is large enough compared with pp, then the numbers of edges in the two graphs differ by at most p−2p−2. This is a modest but nontrivial improvement of the easy result that these numbers differ by at most pp.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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