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$s$-Stable Kneser Graph are Hamiltonian

\(s\)-stable Kneser graphs are Hamiltonian
Authors: Agustina Victoria Ledezma; Adrián Pastine;

$s$-Stable Kneser Graph are Hamiltonian

Abstract

The Kneser Graph $K(n,k)$ has as vertices all $k$-subsets of $\{1,\ldots,n\}$ and edges connecting two vertices if they are disjoint. The $s$-stable Kneser Graph $K_{s-\text{stab}}(n, k)$ is obtained from the Kneser graph by deleting vertices with elements at cyclic distance less than $s$. In this article, we show that connected $s$-Stable Kneser graphs are Hamiltonian.

Keywords

Eulerian and Hamiltonian graphs, Graph algorithms (graph-theoretic aspects), FOS: Mathematics, Mathematics - Combinatorics, Structural characterization of families of graphs, Combinatorics (math.CO)

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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gold