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SCDO, Queenstown, MiGawdItsBeautiful, New Zealand 18 February, 2016 The Census of Edge- Transitive Tetravalent Graphs

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Page 1: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

SCDO, Queenstown, MiGawdItsBeautiful,

New Zealand

18 February, 2016

The Census of Edge-Transitive Tetravalent Graphs!

Page 2: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

The Site!

http://jan.ucc.nau.edu/~swilson/C4FullSite/index.html

http://jan.ucc.nau.edu/~swilson/C4FullSite/index.html

Page 3: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Home Page!

Page 4: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

The Table!

Page 5: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Home Page!

Page 6: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Summary page!

Page 7: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

The Graph !

Page 8: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Summary page!

Page 9: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Constructions!

Page 10: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Diagrams!

Page 11: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Summary page!

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Page 12: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Covers Down!

Page 13: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Covers Up!

Page 14: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Aut-Orbitals!

Page 15: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Glossary!

Page 16: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Summary page!

Page 17: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Propellor!

Page 18: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Families Page!

Page 19: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Families Page!

Page 20: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

The Recipes Paper!

"Recipes for Edge-Transitive !Tetravalent Graphs"!

Contains:!Recipes for all families of graphs! in the Census!Connections and overlaps between! Families!

Theorems and lesser results!

A dozen open problems!

Page 21: The Census of Edge- Transitive Tetravalent Graphshomepages.ulb.ac.be/~dleemans/SCDO2016/SCDO-TALKS/Thursday/Wilson.pdfSYMMETRY: A , also called an automorphism, of a graph is a permutation

Other Page!

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