Jun 10, 2013 · The higher inclusion matrix M_s^r(G) is a {0,1}-matrix with rows indexed by the edges of G and columns indexed by the subsets of V(G) of size s.
It states that if a limited number of somewhat uniformly distributed r-sets are removed from the complete r-graph then the rank of the s-inclusion matrix does ...
On the rank of higher inclusion matrices · C. Grosu, Y. Person, Tibor Szabó · Published in Journal of the London… 10 June 2013 · Mathematics.
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On the rank of higher inclusion matrices - Oxford Academic
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Abstract. Let r ≥ s ≥ 0 be integers and G be an r -graph. The higher inclusion matrix M s r ( G ) is a { 0 , 1 } -matrix with rows indexed by the edges of G ...
Let r >= s >= 0 be integers and G be an r-graph. The higher inclusion matrix M_s^r(G) is a {0,1}-matrix with rows indexed by the edges of G and columns ...
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Sep 20, 2017 · In this paper we prove that the rank of the higher inclusion matrix W r , s over an arbitrary field K is resilient. That is, if the size of F is ...
We study sufficient conditions for Hamiltonian cycles in hypergraphs, and obtain both Turán- and Dirac-type results. While the Turán-type result gives an ...
In this paper we prove that the rank of the higher inclusion matrix W r , s Wr,s over an arbitrary field K is resilient.
In this paper we prove that the rank of the higher inclusion matrix W r , s over an arbitrary field K is resilient. That is, if the size of F is "close" to ( n ...