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Krausz dimension and its generalizations in special graph classes
Krausz dimension intersection graphs linear k-uniform hypergraphs chordal graphs polar graphs
2011/9/14
Abstract: A {\it krausz $(k,m)$-partition} of a graph $G$ is the partition of $G$ into cliques, such that any vertex belongs to at most $k$ cliques and any two cliques have at most $m$ vertices in com...
Topological algebras of rapidly decreasing matrices and generalizations
Rapidly decreasing matrix weighted matrix algebra continuous inverse algebra
2011/2/21
It is a folklore fact that the rapidly decreasing matrices of countable size form an associative topological algebra whose set of quasi-invertible elements is open, and such that the quasi-inversion m...