𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On 2-factorizations of the complete graph: From the k-pyramidal to the universal property

✍ Scribed by Simona Bonvicini; Giuseppe Mazzuoccolo; Gloria Rinaldi

Publisher
John Wiley and Sons
Year
2009
Tongue
English
Weight
180 KB
Volume
17
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We consider 2‐factorizations of complete graphs that possess an automorphism group fixing k⩾0 vertices and acting sharply transitively on the others. We study the structures of such factorizations and consider the cases in which the group is either abelian or dihedral in some more details. Combining results of the first part of the paper with a result of D. Bryant, J Combin Des, 12 (2004), 147–155, we prove that the class of 2‐factorizations of complete graphs is universal. Namely each finite group is the full automorphism group of a 2‐factorization of the class. © 2009 Wiley Periodicals, Inc. J Combin Designs 17: 211‐228, 2009

📜 SIMILAR VOLUMES

1-rotational k-factorizations of the com
1-rotational k-factorizations of the complete graph and new solutions to the Oberwolfach problem
✍ Marco Buratti; Gloria Rinaldi 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 149 KB 👁 1 views

## Abstract We consider __k__‐factorizations of the complete graph that are 1‐__rotational__ under an assigned group __G__, namely that admit __G__ as an automorphism group acting sharply transitively on all but one vertex. After proving that the __k__‐factors of such a factorization are pairwise i

Some new results on 1-rotational 2-facto
Some new results on 1-rotational 2-factorizations of the complete graph
✍ Tommaso Traetta 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 129 KB 👁 1 views

## Abstract It is known that a necessary condition for the existence of a 1‐rotational 2‐factorization of the complete graph __K__~2__n__+1~ under the action of a group __G__ of order 2__n__ is that the involutions of __G__ are pairwise conjugate. Is this condition also sufficient? The complete ans

On temperature dependence of Debye-Walle
On temperature dependence of Debye-Waller factor in V3Si in the temperature range from 8 to 293 K
✍ Acad.; Prof. N. N. Sirota; L. P. Polutchankina 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 284 KB 👁 2 views

## Abstract The temperature dependence of the Debye‐Waller factors of vanadium and silicon in V~3~Si and that of the X‐ray Debye temperature are obtained from the integral intensities of X‐ray reflection measured at 11 temperatures ranging from 8 K to 293 K. It shown that the breaks on these curves

Thermodynamic properties of {xC2H5OH+(1−
Thermodynamic properties of {xC2H5OH+(1−x)H2O} in the temperature range from 320 K to 420 K at pressures up to 200 MPa
✍ Y. Takiguchi; O. Osada; M. Uematsu 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 346 KB

Measurements of (p, r, T ) at given temperatures and pressures in the compressed liquid phase for {xC2H5OH + (1x)H2O} with x = (0.1002, 0.2503, 0.4999, 0.7495, and 0.8904) were carried out with a metal-bellows variable volumometer along six isotherms between T = 320 K and T = 420 K at pressures from

Volumetric measurements of liquid pentan
Volumetric measurements of liquid pentan-2-one, hexan-2-one, and 4-methylpentan-2-one at temperatures from 278.15 K to 338.13 K and pressures in the range from 0.1 MPa to 386 MPa
✍ R Malhotra; L.A Woolf 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 262 KB

A bellows volumometer has been used to obtain volume ratios relative to p = 0.1 MPa for each of the liquids pentan-2-one, hexan-2-one, and 4-methylpentan-2-one at the temperatures (278.15, 288.15, 298.14, 313.14, 323.14, and 338.13) K for pressures up to 386 MPa or close to the freezing pressure, wh