Δ-graphs of polyhedra in the Bruns-Gubeladze K-theory / M. V. Prikhod'ko. // Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika. 2013. № 6. P. 19-24 [Moscow Univ. Math. Bulletin. Vol. 72, N 2, 2017. P. 0].
W. Bruns and J. Gubeladze introduced a new variant of algebraic K-theory, where K-groups are additionally parametrized by polytopes of some type. In this paper we propose a notion of stable E-equivalence which can be used to calculate K-groups for high-dimensional polytopes. Polytopes which are stable E-equivalent have similar inner structures and isomorphic K-groups. In addition, for each polytope we define a Δ-graph which is an oriented graph being invariant under a stable E-equivalence.
Key words: algebraic K-theory, balanced polytopes, E-equivalence.