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math.CO2012
On Lagrangians of r-uniform Hypergraphs
Yuejian Peng, Qingsong Tang, Cheng Zhao
A remarkable connection between the order of a maximum clique and the Lagrangian of a graph was established by Motzkin and Straus in [7]. This connection and its extensions were su…
math.CO2012
Some Results on Lagrangians of Hypergraphs
Qingsong Tang, Yuejian Peng, Xiangde Zhang +1
In 1965, Motzkin and Straus [5] provided a new proof of Turan's theorem based on a continuous characterization of the clique number of a graph using the Lagrangian of a graph. This…
math.CO2012
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…