Galois points for a finite graph
Satoru Fukasawa, Tsuyoshi Miezaki
TL;DR
This paper introduces Galois points for finite graphs using divisor theory, providing a new characterization of complete graphs based on these points.
Contribution
It extends the concept of Galois points to graph theory and offers a novel characterization of complete graphs within this framework.
Findings
Galois points are defined for finite graphs.
Complete graphs are characterized by the presence of Galois points.
The work connects divisor theory with graph symmetry properties.
Abstract
This paper introduces the notion of a Galois point for a finite graph, using the theory of linear systems of divisors for graphs discovered by Baker and Norine. We present a new characterization of complete graphs in terms of Galois points.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Rings, Modules, and Algebras