3 research outputs found
The biased odd cycle game
In this paper we consider biased Maker-Breaker games played on the edge set
of a given graph . We prove that for every and large enough ,
there exists a constant for which if and
, then Maker can build an odd cycle in the game for
. We also consider the analogous game where Maker and
Breaker claim vertices instead of edges. This is a special case of the
following well known and notoriously difficult problem due to Duffus, {\L}uczak
and R\"{o}dl: is it true that for any positive constants and , there
exists an integer such that for every graph , if , then
Maker can build a graph which is not -colorable, in the
Maker-Breaker game played on the vertices of ?Comment: 10 page
Many-body Effects in Angle-resolved Photoemission: Quasiparticle Energy and Lifetime of a Mo(110) Surface State
In a high-resolution photoemission study of a Mo(110) surface state various
contributions to the measured width and energy of the quasiparticle peak are
investigated. Electron-phonon coupling, electron-electron interactions and
scattering from defects are all identified mechanisms responsible for the
finite lifetime of a valence photo-hole. The electron-phonon induced mass
enhancement and rapid change of the photo-hole lifetime near the Fermi level
are observed for the first time.Comment: RevTEX, 4 pages, 4 figures, to be published in PR