Algebraic Graph Theory -- Notation Guide

• We borrow from Graph Theory — Notation Guide and Group Theory — Notation Guide.

• - the symmetric group on a set of elements.

• - the symmetric group on set .

• - the graph obtained by applying the automorphism .

• - the automorphism group of graph .

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• - head of arc
• - tail of arc
• - the directed graph with -arcs of as its vertices such that is an arc if and only if can be shunted onto .

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• - incidence (relation).
• - incidence structure on points , lines and incidence relation .
• - the incidence / Levi graph of an
• - projective field plane of a vector space where .
• - projective field plane of a vector space where .