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4 papers · 2 filters
On Frankl and Furedi's conjecture for 3-uniform hypergraphs
Qingsong Tang, Hao Peng, Cailing Wang +1
The Lagrangian of a hypergraph has been a useful tool in hypergraph extremal problems. In most applications, we need an upper bound for the Lagrangian of a hypergraph. Frankl and F…
Mobius Conjugation and Convolution Formulae
Suijie Wang
Let be a locally finite poset with the interval space $\Int(P)$, and a ring with identity. We shall introduce the Möbius conjugation sending each function $f:P\to…
Bounds on Characteristic Polynomials
Suijie Wang, Yeong-Nan Yeh, Fengwei Zhou
Suppose is a simple graph with vertices, edges, and rank . Let be the chromatic polynomial of . For $q,k\in \B…
Ad-nilpotent ideals and The Shi arrangement
Chao-Ping Dong
We extend the Shi bijection from the Borel subalgebra case to parabolic subalgebras. In the process, the -deleted Shi arrangement naturally emerges. This arran…