Research problem: The completion number of a graph

Details Research problem: The completion number of a graph Research problem: The completion number of a graph

2003-12-19

arxiv.org/abs/math/0312390v1

Mathematics

Combinatorics

6 pages

Scientific paper

Motivated by the remarkable interplay between (chordal) graphs and matrix
algebra, we associate to each graph a so-called completion number that might
encode some aspects of that interplay. We show that this number is not trivial,
and we ask for a graph theoretic characterization of those graphs with a given
completion number.

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