F. Ruskey Joe Sawada y May 15, 2002 Abstra t A bent Hamilton y le in a grid graph is one in whi h ea h edge in a su essive pair of edges lies in a di erent dimension. We show that the d-dimensional grid graph has a bent Hamilton y le if some dimension is even and d 3, and does not have a bent Hamilton y le if all dimensions are odd. In the latter ase, we determine the onditions for when a bent ...

We discuss commuting flows and conservation laws for Lax hierarchies on noncommutative spaces in the framework of the Sato theory. On commutative spaces, the Sato theory has revealed essential aspects of the integrability for wide class of soliton equations which are derived from the Lax hierarchies in terms of pseudo-differential operators. Noncommutative extension of the Sato theory has been ...

2000, under the auspices of the Pacific Institute for the Mathematical Sciences. My original intent was to describe the sequence of developments which began in the 1980's and has led to a unified and automated approach to finding partition bijections. These developments, of six papers, in fact form much of the content of these notes, but it seemed desirable to preface them with some general bac...

This article uses the Yang transform decomposition method and homotopy perturbation to study seventh-order time-fractional Sawada–Kotera–Ito equation. The fractional derivative is taken into account in Caputo sense. We used with Adomian process procedure on problem obtain solution. looked at a single case contrasted it actual result validate methodologies. These techniques create recurrence rel...

Let Pk be a path, Ck a cycle on k vertices, and Kk,k a complete bipartite graph with k vertices on each side of the bipartition. We prove that (1) for any integers k, t > 0 and a graph H there are finitely many subgraph minimal graphs with no induced Pk and Kt,t that are not Hcolorable and (2) for any integer k > 4 there are finitely many subgraph minimal graphs with no induced Pk that are not ...

1 Central Research Institute of Electric Power Industry, 1646,Abiko, Abiko, Chiba, Japan 2 Professor, Disaster Prevention Research Institute ,Kyoto University, Gokasho, Uji, Kyoto, Japan 3 Idemitsu Engineering Co. , Ltd, Mihama, Chiba, Japan Email: [email protected],[email protected], [email protected], [email protected] ABSTRACT : Man...

Budbazar Enkhjargal, Shigeo Godo, Ayuko Sawada, Nergui Suvd, Hiroki Saito, Kazuki Noda, Responses Through Hyperpolarization Mechanism in Mice Endothelial AMP-Activated Protein Kinase Regulates Blood Pressure and Coronary Flow Print ISSN: 1079-5642. Online ISSN: 1524-4636 Copyright © 2014 American Heart Association, Inc. All rights reserved. Greenville Avenue, Dallas, TX 75231 is published by th...

In this paper, a (2+1)-dimensional Caudrey–Dodd–Gibbon–Kotera–Sawada system is investigated in fluid mechanics via the symbolic computation. With help of Hirota method, we derive some singular soliton, shock-wave, breather-stripe soliton and hybrid solutions. Based on finite difference get numerical one-soliton We graphically show shock-wave solutions, observe that solutions are explosive unsta...