# A First Course in Graph Theory and CombinatoricsEnumeration under Group Action

A First Course in Graph Theory and Combinatorics: Enumeration under Group Action [Let G be a group and X a set. We say Gacts on X if there is a map G × X → X (usually denoted by (g, x) → g · x) satisfying the following axioms for all x ∈ X: 1 · x = x, where 1 denotes the identity of G;(gh) · x = g · (h · x) for all g, h ∈ G.] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

# A First Course in Graph Theory and CombinatoricsEnumeration under Group Action

Part of the Texts and Readings in Mathematics Book Series (volume 55)
Springer Journals — May 24, 2017
13 pages

/lp/springer-journals/a-first-course-in-graph-theory-and-combinatorics-enumeration-under-pzUHZYlt4V
Publisher
Hindustan Book Agency
© Hindustan Book Agency (India) 2009
ISBN
978-81-85931-98-2
Pages
72 –85
DOI
10.1007/978-93-86279-39-2_7
Publisher site
See Chapter on Publisher Site

### Abstract

[Let G be a group and X a set. We say Gacts on X if there is a map G × X → X (usually denoted by (g, x) → g · x) satisfying the following axioms for all x ∈ X: 1 · x = x, where 1 denotes the identity of G;(gh) · x = g · (h · x) for all g, h ∈ G.]

Published: May 24, 2017