Results 31 to 40 of about 4,036,327 (265)
Hamilton cycle decompositions of the tensor product of complete multipartite graphs
R. Manikandan, P. Paulraja
semanticscholar +3 more sources
Identifying Hamilton cycles in the Cartesian product of directed cycles
Let be a Cartesian product of directed cycles. It is known that has a Hamilton cycle if there is a permutation of that satisfies and for some positive integers , where . In addition, if then has two arc-disjoint Hamilton cycles.
Zbigniew R. Bogdanowicz
doaj +1 more source
On Implicit Heavy Subgraphs and Hamiltonicity of 2-Connected Graphs
A graph G of order n is implicit claw-heavy if in every induced copy of K1,3 in G there are two non-adjacent vertices with sum of their implicit degrees at least n. We study various implicit degree conditions (including, but not limiting to, Ore- and Fan-
Zheng Wei, Wideł Wojciech, Wang Ligong
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Within a New Zealand business cycle context, we assess whether Hamilton’s (H84) OLS regression methodology produces stylised business cycle facts which are materially different from the Hodrick–Prescott (HP) and Baxter–King (BK) measures, and whether ...
V. Hall, P. Thomson
semanticscholar +1 more source
Well-spread sequences and edge-labellings with constant Hamilton-weight [PDF]
A sequence (a_i) of integers is \emphwell-spread if the sums a_i+a_j, for ...
Peter Mark Kayll
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Sparse Kneser graphs are Hamiltonian [PDF]
For integers $k\geq 1$ and $n\geq 2k+1$, the Kneser graph $K(n,k)$ is the graph whose vertices are the $k$-element subsets of $\{1,\ldots,n\}$ and whose edges connect pairs of subsets that are disjoint.
Mütze, Torsten +2 more
core +3 more sources
Finding Hamilton cycles in random intersection graphs [PDF]
The construction of the random intersection graph model is based on a random family of sets. Such structures, which are derived from intersections of sets, appear in a natural manner in many applications. In this article we study the problem of finding a
Katarzyna Rybarczyk
doaj +1 more source
Hamilton cycles in hypergraphs below the Dirac threshold [PDF]
We establish a precise characterisation of $4$-uniform hypergraphs with minimum codegree close to $n/2$ which contain a Hamilton $2$-cycle. As an immediate corollary we identify the exact Dirac threshold for Hamilton $2$-cycles in $4$-uniform hypergraphs.
Garbe, Frederik, Mycroft, Richard
core +2 more sources
Powers of Hamilton cycles in pseudorandom graphs [PDF]
We study the appearance of powers of Hamilton cycles in pseudorandom graphs, using the following comparatively weak pseudorandomness notion. A graph $G$ is $(\varepsilon,p,k,\ell)$-pseudorandom if for all disjoint $X$ and $Y\subset V(G)$ with $|X|\ge ...
A. Johansson +18 more
core +1 more source
Difference divisor graph of the finite group [PDF]
Let (Zn, +) be a finite group of integers modulo n and Dn a non-empty subset of Zn containing proper devisors of n. In this paper, we have introduced the difference divisor graph Diff (Zn, Dn) associated with Zn whose vertices coincide with Zn such that ...
R. V M S S Kiran Kumar, T. Chalapathi
doaj +1 more source

