Let n, s1,s2, and sn be positive integers. Assume M(s1 s2,,sn)={(x1,x2,... ,xn)|0≤xi≤si, xi is an integer for each i}.For a=(a1,a2,....,an)∈M(s1,s2,...,sn.),M(s1,s2,....,sn.), and A{1,2,..,n}, denote sp(a)={j |1≤ ...Let n, s1,s2, and sn be positive integers. Assume M(s1 s2,,sn)={(x1,x2,... ,xn)|0≤xi≤si, xi is an integer for each i}.For a=(a1,a2,....,an)∈M(s1,s2,...,sn.),M(s1,s2,....,sn.), and A{1,2,..,n}, denote sp(a)={j |1≤ j≤n, aj≥p}, Sp(r)={sp(a) |aam}, and WP(A)=P(si-p).Fis called an I-intersecting family if, for any a,6eF, a.Abi=min(ai,6i)>p for at least t i'8. F iscalled a greedy Ir-illtersecting flaily if F is an Ir-intersecting family and WP(A)ZWr(B+A') forany ASp and any BOA with B=t-1.In this paper, we obtain a sharp upper bound of for greedy Ir-intersecting families inM(sl,s2Z,'',sn.) for the case 2p5B' (IBIds) and 81 >BZ >...>B..展开更多
文摘Let n, s1,s2, and sn be positive integers. Assume M(s1 s2,,sn)={(x1,x2,... ,xn)|0≤xi≤si, xi is an integer for each i}.For a=(a1,a2,....,an)∈M(s1,s2,...,sn.),M(s1,s2,....,sn.), and A{1,2,..,n}, denote sp(a)={j |1≤ j≤n, aj≥p}, Sp(r)={sp(a) |aam}, and WP(A)=P(si-p).Fis called an I-intersecting family if, for any a,6eF, a.Abi=min(ai,6i)>p for at least t i'8. F iscalled a greedy Ir-illtersecting flaily if F is an Ir-intersecting family and WP(A)ZWr(B+A') forany ASp and any BOA with B=t-1.In this paper, we obtain a sharp upper bound of for greedy Ir-intersecting families inM(sl,s2Z,'',sn.) for the case 2p5B' (IBIds) and 81 >BZ >...>B..
