Various results on factorisations of complete graphs into circulant graphs and on 2-factorisations of these circulant graphs are proved. As a consequence, a number of new results on the Oberwolfach Problem are obtained. For example, a complete solution to the Oberwolfach Problem is given for every 2-regular graph of order 2p where p ≡ 5 (mod 8) is prime.
@article{770, title = {On factorisations of complete graphs into circulant graphs and the Oberwolfach problem}, journal = {ARS MATHEMATICA CONTEMPORANEA}, volume = {11}, year = {2015}, doi = {10.26493/1855-3974.770.150}, language = {EN}, url = {http://dml.mathdoc.fr/item/770} }
Alspach, Brian; Bryant, Darryn; Horsley, Daniel; Maenhaut, Barbara; Scharaschkin, Victor. On factorisations of complete graphs into circulant graphs and the Oberwolfach problem. ARS MATHEMATICA CONTEMPORANEA, Tome 11 (2015) . doi : 10.26493/1855-3974.770.150. http://gdmltest.u-ga.fr/item/770/