Null Graph - Edgeless Graph

Edgeless Graph

Edgeless graph (empty graph, null graph)
Vertices n
Edges 0
Radius 0
Diameter 0
Girth
Automorphisms n!
Chromatic number 1
Chromatic index 0
Genus 0
Properties Integral
Symmetric
Notation

For each natural number n, the edgeless graph (or empty graph) is the graph with n vertices and zero edges. An edgeless graph is occasionally referred to as a null graph in contexts where the order-zero graph is not permitted.

The n-vertex edgeless graph is the complement graph for the complete graph, and therefore it is commonly denoted as .

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