Results 31 to 40 of about 4,036,327 (265)

Identifying Hamilton cycles in the Cartesian product of directed cycles

open access: yesAKCE International Journal of Graphs and Combinatorics, 2020
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

open access: yesDiscussiones Mathematicae Graph Theory, 2021
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
doaj   +1 more source

Does Hamilton’s OLS Regression Provide a “better alternative” to the Hodrick-Prescott Filter? A New Zealand Business Cycle Perspective

open access: yesJournal of Business Cycle Research, 2021
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2004
A sequence (a_i) of integers is \emphwell-spread if the sums a_i+a_j, for ...
Peter Mark Kayll
doaj   +1 more source

Sparse Kneser graphs are Hamiltonian [PDF]

open access: yes, 2020
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]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2018
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]

open access: yes, 2018
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]

open access: yes, 2014
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]

open access: yesInternational Journal of Research in Industrial Engineering, 2018
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

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