Letg(n,r) be the maximal order of an induced cycle in the Knesser graph Kn([n] r), whose vertices are ther-sets of [n]={1, ...,n} and whose adjacency relat.
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We present some lower and upper bounds on the length of the maximum induced paths and cycles in Kneser graphs.
Some lower and upper bounds on the length of the maximum induced paths and cycles in Kneser graphs are presented. We present some lower and upper bounds on ...
Basically, we traverse all the n disjoint paths in Ok and carefully pick edges from the cycles induced by σ(r1) and σ(r2) in order ... A note on Hamilton cycles ...
By the induction hypothesis, the Kneser graph K(n&2, k&1) has a Hamiltonian cycle C1 . Without loss of generality (permute F1 , ..., Fm if necessary), we can ...
In this paper we use a computational heuristic of Shields and Savage to extend previous results and show that all connected Kneser graphs (except the Petersen ...
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Sep 27, 2015 · Odd and even cycles of Kneser Graph ... Show that Kneser Graph KGn,k has no odd cycles of lenght shorter than 1+2⌈kn−2k⌉. What about even cycles?
The Kneser graph K(n,k) has a Hamilton cycle for n≥3k. The aim of this note is to present a short proof when k divides n. It is widely conjectured that all ...
Jun 3, 2014 · Title:Induced Cycles in Graphs ... Abstract:The maximum cardinality of an induced 2-regular subgraph of a graph G is denoted by c_{\rm ind}(G).
The middle levels problem consists in determining a hamiltonian cycle in the bipartite Kneser graph, also known as the middle levels graph and denoted by.