The spectra of certain classes of room frames: the last cases
The electronic journal of combinatorics, Tome 17 (2010)
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In this paper we study the spectra of certain classes of Room frames. The three spectra which we study are incomplete Room squares, uniform Room frames and Room frames of type $2^ut^1$. These problems have been studied in numerous papers over the years; in this paper, we complete the three spectra. In addition we find a Howell cube of type $H_3(6,10)$. This corrects a previous claim of nonexistence of this design.
DOI : 10.37236/346
Classification : 05B15
Mots-clés : Howell cube of type \(H_3(6, 10)\)
@article{10_37236_346,
     author = {Jeffrey H. Dinitz and Gregory S. Warrington},
     title = {The spectra of certain classes of room frames: the last cases},
     journal = {The electronic journal of combinatorics},
     year = {2010},
     volume = {17},
     doi = {10.37236/346},
     zbl = {1228.05084},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/346/}
}
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Jeffrey H. Dinitz; Gregory S. Warrington. The spectra of certain classes of room frames: the last cases. The electronic journal of combinatorics, Tome 17 (2010). doi: 10.37236/346

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