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arXiv · 1708.01822

Maximum star densities

Christian Reiher·Stephan Wagner
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Abstract

Given an integer $k \geq 2$ and a real number $γ\in [0, 1]$, which graphs of edge density $γ$ contain the largest number of $k$-edge stars? For $k=2$ Ahlswede and Katona proved that asymptotically there cannot be more such stars than in a clique or in the complement of a clique (depending on the value of $γ$). Here we extend their result to all integers $k\ge 2$.

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Christian Reiher, Stephan Wagner. 2018-01-05. Maximum star densities. https://doi.org/10.1556/012.2018.55.2.1395

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