Helly family
id:
helly-family-324-10671995
title:
Helly family
text:
In combinatorics, a Helly family of order k is a family of sets in which every minimal subfamily with an empty intersection has k or fewer sets in it. Equivalently, every finite subfamily such that every k-fold intersection is non-empty has non-empty total intersection. The k-Helly property is the property of being a Helly family of order k. The number k is frequently omitted from these names in the case that k = 2. Thus, a set-family has the Helly property if, for every n sets s 1 , … , s n in
brand slug:
wiki
category slug:
encyclopedia
description:
Family of sets where every disjoint subfamily has k or fewer sets
original url:
https://en.wikipedia.org/wiki/Helly_family
date created:
date modified:
2024-04-07T21:45:22Z
main entity:
{"identifier":"Q1603101","url":"https://www.wikidata.org/entity/Q1603101"}
image:
fields total:
13
integrity:
14