We prove that intersection graphs of boxes on the plane with girth 6 and 8 are 3and 2-degenerate, respectively. This implies that these graphs are 4and 3-list-colourable, respectively. c © 2000 Published by Elsevier Science B.V. All rights reserved.

We provide high-energy approximations for all one-loop scalar 3and 4-point functions and the corresponding tensor integrals that appear in scattering processes with four external on-shell particles. Our expressions are valid if all kinematical invariants are much larger than the internal and external masses. They contain all leading-order terms of the integrals. WUE-ITP-96-006 May 1996

We use the correspondence between scalar field theory on AdSd+1 and a conformal field theory on R to calculate the 3and 4-point functions of the latter. The classical scalar field theory action is evaluated at tree level. e-mail: [email protected] e-mail: [email protected] 1

In this paper, we investigate the finite-time synchronization problem of a novel hyperchaotic complex-variable system which generates 2-, 3and 4-scroll attractors. Based on the finite-time stability theory, two control strategies are proposed to realize synchronization of the novel hyperchaotic complex-variable system in finite time. Finally, two numerical examples have been provided to illustr...

In this letter we present an experimental confirmation of 3and 5-scroll attractors from a generalized Chua's circuit. The generalized Chua's circuit introduced by Suykens, Huang, and Chua makes use of a piecewise linear characteristic with multiple breakpoints leading to a more complete family of -scroll attractors than -double scroll attractors, with a natural number.

Equilibrium constants for keto-enol tautomerisation and migration of hydrogen from carbon to nitrogen to form enamine or zwitterion tautomers have been measured for 2-, 3and 4phenacylpyridines (PyCH,COPh) in aqueous solution at 25 "C. Relative tautomeric stabilities fall in the order ketoimine > enamine > enol and (for the 3-isomer) enol > zwitterion. Values of pKT, (-log KT) where KT = [enamin...

The new major metabolite of @-acetylaminofluorene (AAF) in the rat, N-hydroxy AAF, was excreted in the urine as a conjugate in amounts that increased during car cinogenesis; the amount at 18 weeks was about 9 times that at 1@weeks. When 3methylcholanthrene, which greatly inhibits the carcinogenicity of AM?, was fed with AAF, the excretion of N-hydroxy-AAF remained low, while the excretion of 3a...