Recognizing circulant graphs in polynomial time: An application of association schemes
The electronic journal of combinatorics, Tome 8 (2001) no. 1
In this paper we present a time-polynomial recognition algorithm for certain classes of circulant graphs. Our approach uses coherent configurations and Schur rings generated by circulant graphs for elucidating their symmetry properties and eventually finding a cyclic automorphism.
DOI :
10.37236/1570
Classification :
05C25, 05C85
Mots-clés : automorphism, polynomial recognition algorithm, circulant graphs, Schur rings
Mots-clés : automorphism, polynomial recognition algorithm, circulant graphs, Schur rings
@article{10_37236_1570,
author = {Mikhail E. Muzychuk and Gottfried Tinhofer},
title = {Recognizing circulant graphs in polynomial time: {An} application of association schemes},
journal = {The electronic journal of combinatorics},
year = {2001},
volume = {8},
number = {1},
doi = {10.37236/1570},
zbl = {0996.05072},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1570/}
}
TY - JOUR AU - Mikhail E. Muzychuk AU - Gottfried Tinhofer TI - Recognizing circulant graphs in polynomial time: An application of association schemes JO - The electronic journal of combinatorics PY - 2001 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.37236/1570/ DO - 10.37236/1570 ID - 10_37236_1570 ER -
%0 Journal Article %A Mikhail E. Muzychuk %A Gottfried Tinhofer %T Recognizing circulant graphs in polynomial time: An application of association schemes %J The electronic journal of combinatorics %D 2001 %V 8 %N 1 %U http://geodesic.mathdoc.fr/articles/10.37236/1570/ %R 10.37236/1570 %F 10_37236_1570
Mikhail E. Muzychuk; Gottfried Tinhofer. Recognizing circulant graphs in polynomial time: An application of association schemes. The electronic journal of combinatorics, Tome 8 (2001) no. 1. doi: 10.37236/1570
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