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Andrei V. Gagarin - Characterizations of
-polar graphs by
forbidden induced subgraphs
ANDREI V. GAGARIN, Department of Mathematics, University of Manitoba, Winnipeg, Manitoba R3T 2N2, Canada |
Characterizations of
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Let and
be positive integers or infinity. A graph
Gis called
-polar if there is a partition of
its vertex set
,
, such that the
induced subgraph G(B) is a union of disjoint cliques of order at
most
and G(A) is the complement to a union of disjoint
cliques of order at most
.
In this talk, we will consider the problem of characterizing
-polar classes in terms of a finite list of forbidden induced
subgraphs.