graph theory

graph

vertex, edge

omega-graph, hypergraph

quiver, n-quiver

category of simple graphs

reflexive, directed

bipartite

planar

reflexive directed graph + unital associative composition = category

ribbon graph, combinatorial map, topological map, child's drawing

vertex coloring, clique

A vertex is a point in a graph or simplicial set or similar. In the context of simplicial sets it is a 0-dimensional simplex.

edge

vertex, simplex, dendrex