Open Access. Powered by Scholars. Published by Universities.®

Mathematics Commons

Open Access. Powered by Scholars. Published by Universities.®

Discrete Mathematics and Combinatorics

Dartmouth Scholarship

1982

Articles 1 - 1 of 1

Full-Text Articles in Mathematics

A Classification Of Certain Graphs With Minimal Imperfection Properties, S. H. Whitesides Jan 1982

A Classification Of Certain Graphs With Minimal Imperfection Properties, S. H. Whitesides

Dartmouth Scholarship

The family of (α, ω) graphs are of interest for several reasons. For example, any minimal counter-example to Berge's Strong Perfect Graph Conjecture belongs to this family. This paper accounts for all (4, 3) graphs. One of these is not obtainable by existing techniques for generating (α + 1, ω) graphs from (α, ω) graphs.