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On the number of facets of a 2-neighborly polytope

open access: yesМоделирование и анализ информационных систем, 2010
A d-polytope P is 2-neighborly if each 2 vertices of P determine an edge. It is conjectured that the number f0(P) of vertices for such polytope does not exceed the number fd-1(P) of facets. The conjecture is separately proved for d < 7 and for f0(P) < d+

doaj  

PQ-Type Adjacency Polytopes of Join Graphs [PDF]

open access: hybrid, 2022
Hidefumi Ohsugi, Akiyoshi Tsuchiya
openalex   +1 more source

Perturbative unitarity and the wavefunction of the Universe

open access: yesSciPost Physics
Unitarity of time evolution is one of the basic principles constraining physical processes. Its consequences in the perturbative Bunch-Davies wavefunction in cosmology have been formulated in terms of the cosmological optical theorem.
Soner Albayrak, Paolo Benincasa, Carlos Duaso Pueyo
doaj   +1 more source

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