Geodesic
On the unitary Cayley graph of a finite ring
The electronic journal of combinatorics, Tome 16 (2009) no. 1
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We study the unitary Cayley graph associated to an arbitrary finite ring, determining precisely its diameter, girth, eigenvalues, vertex and edge connectivity, and vertex and edge chromatic number. We also compute its automorphism group, settling a question of Klotz and Sander. In addition, we classify all planar graphs and perfect graphs within this class.
DOI : 10.37236/206
Classification : 05C25, 05C30, 05C10
Mots-clés : automorphism group, diameter, girth, eigenvalues, vertex connectivity, edge connectivity, vertex chromatic number, edge chromatic number 
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     title = {On the unitary {Cayley} graph of a finite ring},
     journal = {The electronic journal of combinatorics},
     year = {2009},
     volume = {16},
     number = {1},
     doi = {10.37236/206},
     zbl = {1230.05149},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/206/}
}
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Reza Akhtar; Megan Boggess; Tiffany Jackson-Henderson; Isidora Jiménez; Rachel Karpman; Amanda Kinzel; Dan Pritikin. On the unitary Cayley graph of a finite ring. The electronic journal of combinatorics, Tome 16 (2009) no. 1. doi: 10.37236/206

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