Results 31 to 40 of about 841,975 (192)

The parity Hamiltonian cycle problem

open access: yesDiscrete Mathematics, 2018
Motivated by a relaxed notion of the celebrated Hamiltonian cycle, this paper investigates its variant, parity Hamiltonian cycle (PHC): A PHC of a graph is a closed walk which visits every vertex an odd number of times, where we remark that the walk may use an edge more than once. First, we give a complete characterization of the graphs which have PHCs,
Hiroshi Nishiyama   +4 more
openaire   +3 more sources

Partitioning 3-colored complete graphs into three monochromatic cycles [PDF]

open access: yes, 2011
We show in this paper that in every 3-coloring of the edges of Kn all but o(n) of its vertices can be partitioned into three monochromatic cycles. From this, using our earlier results, actually it follows that we can partition all the vertices into at
Gyárfás, András   +3 more
core   +1 more source

Extending Complex Conjugate Control to Nonlinear Wave Energy Converters

open access: yesJournal of Marine Science and Engineering, 2020
This paper extends the concept of Complex Conjugate Control (CCC) of linear wave energy converters (WECs) to nonlinear WECs by designing optimal limit cycles with Hamiltonian Surface Shaping and Power Flow Control (HSSPFC).
David G. Wilson   +4 more
doaj   +1 more source

Controlled Lagrangian and Hamiltonian Systems [PDF]

open access: yes, 2002
any control systems are mechanical systems. The unique feature of mechanical systems is the notion of energy, which gives much information on the stability of equilibria.
Chang, Dong Eui
core   +1 more source

Two Hamiltonian cycles [PDF]

open access: yes, 2021
If the line graph of a graph $G$ decomposes into Hamiltonian cycles, what is $G$?
Zaslavsky, Thomas, Sivaraman, Vaidy
core   +1 more source

Limit cycles of discontinuous piecewise linear differential systems formed by centers or Hamiltonian without equilibria separated by irreducible cubics

open access: yesMoroccan Journal of Pure and Applied Analysis, 2021
The main goal of this paper is to provide the maximum number of crossing limit cycles of two different families of discontinuous piecewise linear differential systems.
Damene Loubna, Benterki Rebiha
doaj   +1 more source

A Finite Dimensional Approximation of the shallow water Equations: The port-Hamiltonian Approach [PDF]

open access: yes, 2006
We look into the problem of approximating a distributed parameter port-Hamiltonian system which is represented by a non-constant Stokes-Dirac structure.
Ramkrishna Pasumarthy, R.P.   +8 more
core   +4 more sources

Removable matchings and hamiltonian cycles

open access: yesDiscrete Mathematics, 2009
The authors show the following two results: {\parindent=5mm \begin{itemize}\item[1)]Let \(G\) be a graph of order \(n\geq 4k+3\) with \(\sigma_2 (G)\geq n\) and let \(F\) be a matching of size \(k\) in \(G\) such that \(G-F\) is 2-connected. Then \(G-F\) is hamiltonian or \(G\cong K_2 +(K_2\cup K_{n-4})\) or \(G\cong \bar{K_2} +(K_2\cup K_{n-4 ...
Zhiquan Hu, Hao Li
openaire   +1 more source

Hamiltonian cycles in polyhedral maps [PDF]

open access: yesProceedings - Mathematical Sciences, 2017
14 ...
Maity, Dipendu, Upadhyay, Ashish Kumar
openaire   +2 more sources

On Factorization, Interconnection and Reduction of Collocated Port-Hamiltonian Systems [PDF]

open access: yes, 2004
Based on a geometric interpretation of nonlinear balanced reduction some implications of this approach are analyzed in the case of collocated port-Hamiltonian systems which have a certain balance in its structure.
Ricardo Lopezlena   +6 more
core   +1 more source

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