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In 2009, Borg~\cite{BORG13} suggested a conjecture concerning the size of a $t$-intersecting $k$-uniform family of faces of an arbitrary simplicial complex. In this paper, we give a strengthening of Borg's conjecture for shifted simplicial complexes using algebraic shifting.
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참고문헌 (10)
참고문헌 신청
N. Alon / 2014 / Maximizing the number of nonnegative sub-sets / SIAM J. Discrete Math 28(2):811~816
P. Borg / 2009 / Extremal t-intersecting sub-families of hereditary families / J. Lond. Math. Soc 79(1):167~185
P. Erdos / 1961 / Intersection theorems for systems of nite sets / Quart. J. Math. Oxford Ser 12:313~320
S. A. S. Fakhari / 2016 / Intersecting faces of a simplicial complex via algebraic shifting / Discrete Math 339(1):78~83
P. Frankl / 1978 / The Erdos-Ko-Rado theorem is true for n = ckt, in Combinatorics / Colloq. Math. Soc. Janos Bolyai 18:365~375
P. Borg / 2009 / Extremal t-intersecting sub-families of hereditary families / J. Lond. Math. Soc 79(1):167~185
P. Erdos / 1961 / Intersection theorems for systems of nite sets / Quart. J. Math. Oxford Ser 12:313~320
S. A. S. Fakhari / 2016 / Intersecting faces of a simplicial complex via algebraic shifting / Discrete Math 339(1):78~83
P. Frankl / 1978 / The Erdos-Ko-Rado theorem is true for n = ckt, in Combinatorics / Colloq. Math. Soc. Janos Bolyai 18:365~375
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