๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Dirac's conjecture on K5-subdivisions

โœ Scribed by Carsten Thomassen


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
145 KB
Volume
165-166
Category
Article
ISSN
0012-365X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


A remark on Brauer's k(B)-conjecture
โœ Reinhard Knรถrr ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 476 KB
A short proof of a theorem of dirac's ab
โœ D. R. Woodall ๐Ÿ“‚ Article ๐Ÿ“… 1992 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 105 KB ๐Ÿ‘ 1 views

## Abstract A Short proof is given of the theorem that every grph that does not have __K__~4~ as a subcontraction is properly vertex 3โ€colorable.

Gauge generators, Dirac's conjecture, an
โœ X Grร cia; J.M Pons ๐Ÿ“‚ Article ๐Ÿ“… 1988 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 784 KB

A necessary and sufficient condition for a function to be a generator of dynamical symmetry transformations in hamiltonian formalism is derived and presented in two forms, one of which involves an evolution operator connecting hamiltonian and lagrangian formalisms. As a particular case gauge transfo

Do 3n โˆ’ 5 edges force a subdivision of K
โœ Andrรฉ E. Kรฉzdy; Patrick J. McGuinness ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 645 KB

## Abstract A conjecture of Dirac states that every simple graph with __n__ vertices and 3__n__ โˆ’ 5 edges must contain a subdivision of __K__~5~. We prove that a topologically minimal counterexample is 5โ€connected, and that no minorโ€minimal counterexample contains __K__~4~ โ€“ __e__. Consequently, Di

Rao's conjecture on self-complementary g
โœ Kiyoshi Ando ๐Ÿ“‚ Article ๐Ÿ“… 1985 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 106 KB

## Abstract Rao posed the following conjecture, โ€œLet G be a selfโ€complementary graph of order __p__, ฯ€ = (d~1~ โ€ฆ dp) be its degree sequence. Then G has a kโ€factor if and only if ฯ€ โˆ’ k, = (d1 โˆ’ k, โ€ฆ dP โˆ’ k) is graphical.โ€ We construct a family of counterexamples for this conjecture for every k โฉพ 3.