‎in this paper we prove that a simplicial complex is determined‎ ‎uniquely up to isomorphism by its barycentric subdivision as well as‎ ‎its comparability graph‎. ‎we also put together several algebraic‎, ‎combinatorial and topological invariants of simplicial complexes‎.

Philosophical PerspectivesVolume 35, Issue 1 p. 70-98 ORIGINAL ARTICLE Consequences of comparability Cian Dorr, Corresponding Author Dorr [email protected] Email: Jacob M. Nebel [email protected] Jake Zuehl [email protected] for more papers by this authorJacob Nebel, Search authorJake Zuehl, [email protected] author First published: 31 October 2021 https://doi.org/10.1111/phpe.12157Read the full textAbou...

Over time, a market dialog of taxonomy extension best practices will improve constituent communication and investor analysis and comparability assessments. A stated goal/objective typically associated with the adoption of the Extensible Business Reporting Language (XBRL 1 ) is the enhancement of information quality, specifically comparability. Terms often cited include 'Standard', 'Standardizat...

A comparability graph is a simple graph which admits a transitive orientation on its edges. Each one of such orientations defines a poset on the vertex set, and also it is said that this graph is the comparability graph of the poset. A treelike poset is a poset whose covering graph is a tree. Comparability graphs of arborescence posets are known as trivially perfect graphs. These have been char...