---
tag: PN8FCFRX7W
kind: concept
name: Simplicial vertex
aliases: [bisimplicial-vertex]
sources:
  - wikipedia: en:79562353@r1318940295
    locator: Simplicial vertex
    note: adopted
    mention: wikipedia://en/79562353
    sections: [Summary]
same_as:
  wikidata: Q133850409
  wikipedia: Simplicial vertex
inventory: [WRDWZK2NWN]
---

## Summary

In graph theory, a **simplicial vertex** $v$ is a vertex whose closed neighborhood $N_{G}[v]$ in a graph $G$ forms a [[clique|0BYX1D7C2E]], where every pair of neighbors is adjacent to each other.