Geodesic
Circular chromatic index of generalized Blanuša snarks
The electronic journal of combinatorics, Tome 15 (2008)
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In his Master's thesis, Ján Mazák proved that the circular chromatic index of the type 1 generalized Blanuša snark $B^1_n$ equals $3+{2\over n}$. This result provided the first infinite set of values of the circular chromatic index of snarks. In this paper we show the type 2 generalized Blanuša snark $B^2_n$ has circular chromatic index $3+{1/\lfloor{1+3n/2}\rfloor}$. In particular, this proves that all numbers $3+1/n$ with $n\ge 2$ are realized as the circular chromatic index of a snark. For $n=1,2$ our proof is computer-assisted.
DOI : 10.37236/768
Classification : 05C15
Mots-clés : circular chromatic index, snarks 
@article{10_37236_768,
     author = {Mohammad Ghebleh},
     title = {Circular chromatic index of generalized {Blanu\v{s}a} snarks},
     journal = {The electronic journal of combinatorics},
     year = {2008},
     volume = {15},
     doi = {10.37236/768},
     zbl = {1179.05044},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/768/}
}
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Mohammad Ghebleh. Circular chromatic index of generalized Blanuša snarks. The electronic journal of combinatorics, Tome 15 (2008). doi: 10.37236/768

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