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Chordal Graphs
Set Partitions
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Threshold Graphs
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Split Graphs


They are chordal.


A split graph is an undirected graph whose vertices can be partitioned into two sets such that one set induces a complete subgraph and the other set has no edges between vertices.


The complement of a split graph is a split graph.

A graph is a split graph if and only if it is chordal and has a chordal complement.1

  1. Future editions will include a proof. ↩︎
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