Jan 20, 2017 · Abstract. This paper describes the polytope Pk;N P k ; N of i i -star counts, for all i≤k i ≤ k , for graphs on N N nodes.
Jun 18, 2014 · The elongated shape of the k-star polytope gives a qualitative ex- planation of some of the degeneracies found in such random graph models.
The elongated shape of the k-star polytope gives a qualitative explanation of some of the degeneracies found in such random graph models as well as the ...
In this work all graphs are assumed to be undirected and simple, i.e. there are no mul-. tiple edges between the same nodes, and there are no loops. Let.
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Apr 11, 2023 · We show that there exist graphs H and densities c such that the optimizing graph G is neither the quasi-star nor the quasi-clique [4]. We also ...
This paper describes the polytope Pk;N of i-star counts, for all i ≤ k, for graphs on N vertices. The vertices correspond to graphs that are regular or.
Jan 22, 2020 · doi: 10.1007/978-3-319-70566-8_17. Johannes Rauh. The polytope of (k )-star densities. Electron. J. Comb (research paper p1.4, 21). 2017 ...
A polytope is a geometric object with flat sides (faces). Polytopes are the generalization of three-dimensional polyhedra to any number of dimensions.
Polytropes are self-gravitating gaseous spheres that were, and still are, very useful as crude approximation to more realistic stellar models.
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(PDF) The diameter of the ridge-graph of a cyclic polytope
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This paper describes the polytope Pk;N of i-star counts, for all i ≤ k, for graphs on N nodes. The vertices correspond to graphs that are regular or as regular ...