G. V. Ramanan, "Proof of a conjecture of Frankl and Furedi," To appear. Home/Search Document Details and Download
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Frankl-Füredi Type Inequalities for Polynomial Semi-lattices - Qian, Ray-Chaudhuri (1997) (Correct)
.... intersection family if and only if for all E 6= F 2 F ; jE F j 2 L. A special case of a conjecture of Frankl and Furedi [4] states that if L = f1; 2; kg, k a positive integer, then jF j . Here jF j denotes the number of elements in F . Recently Ramanan proved this conjecture in [6]. We extend his method to polynomial semi lattices and we also study some special L intersection families on polynomial semi lattices. Finally we prove two modular versions of Ray Chaudhuri Wilson inequality for polynomial semi lattices. x1. Introduction Throughout the paper, we assume k; n 2 ....
....well known Ray Chaudhuri Wilson theorem to the polynomial semi lattice and they have [8] Theorem 1. Let (X; be a polynomial semi lattice. If F X is an L intersection family, then jF j i=0 jX i j. For the special case L = fl; l 1; l k Gamma 1g, we extend the method in Ramanan [6] to polynomial semi lattices, and we have: Theorem 2. Let (X; be a semi lattice of height n, l; k 2 N, l k Gamma 1 n and F be an fl; l 1; l k Gamma 1g intersection family. Then jF j jX k j jX k Gamma2 j Delta Delta Delta jX k Gamma[k=2]2 j. Here [x] means the ....
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G. V. Ramanan, "Proof of a conjecture of Frankl and Furedi," To appear.
Frankl-Füredi Type Inequalities for Polynomial Semi-lattices - Qian, Ray-Chaudhuri (1997) (Correct)
....of X,is said to be an L intersection family if and only if for all E #F, E#F #L.A special case of a conjecture of Frankl and Furedi [4] states that if L = 2, k , k a positive integer, then . Here denotes the number of elements in . Recently Ramanan proved this conjecture in [6] We extend his method to polynomial semi lattices and we also study some special L intersection families on polynomial semi lattices. Finally we prove two modular versions of Ray Chaudhuri Wilson inequality for polynomial semi lattices. 1. Introduction Throughout the paper, we assume k, n N, I ....
....we assume that has at least two elements. Ray Chaudhuri and Zhu extended the well known Ray Chaudhuri Wilson theorem to the polynomial semi lattice and they have [8] F#Xis an L intersection family, then . For the special case L = l 1, l k 1 , we extend the method in Ramanan [6]to polynomial semi lattices, and we have: Theorem 2. Let (X,#) be a semi lattice of height n, l, k n and be an l 1, l k 1 intersection family. Then X X k [k 2]2 . Here [x] means the greatest integer less than or equal to x. The above result for the set case was ....
[Article contains additional citation context not shown here]
G. V. Ramanan, "Proof of a conjecture of Frankl and Furedi," To appear.
Frankl-Furedi Type Inequalities for Polynomial Semi-lattices - Jin Qian (Correct)
....if for all E 6= F 2 F ; jE F j 2 L. A special case of a conjecture of Frankl and Furedi [4] states that if L = f1; 2; kg, k a positive integer, then jF j P k i=0 Gamma n Gamma1 i Delta . Here jF j denotes the number of elements in F . Recently Ramanan proved this conjecture in [6]. We extend his method to polynomial semi lattices and we also study some special L intersection families on polynomial semi lattices. Finally we prove two modular versions of Ray Chaudhuri Wilson inequality for polynomial semi lattices. x1. Introduction Throughout the paper, we assume k; n 2 N, ....
....Ray Chaudhuri Wilson theorem to the polynomial semi lattice and they have [8] Theorem 1. Let (X; be a polynomial semi lattice. If F X is an L intersection family, then jF j P k i=0 jX i j. For the special case L = fl; l 1; l k Gamma 1g, we extend the method in Ramanan [6] to polynomial semi lattices, and we have: Theorem 2. Let (X; be a semi lattice of height n, l; k 2 N, l k Gamma 1 n and F be an fl; l 1; l k Gamma 1g intersection family. Then jF j jX k j jX k Gamma2 j Delta Delta Delta jX k Gamma[k=2]2 j. Here [x] means the ....
[Article contains additional citation context not shown here]
G. V. Ramanan, "Proof of a conjecture of Frankl and Furedi," To appear.
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