In this paper, we consider the uniformly resolvable decompositions of the complete graph Kv minus a 1-factor (Kv − I) into sub-graphs where each resolution class contains only blocks isomorphic to the same graph. We completely determine the spectrum for the case in which all the resolution classes consist of either 4-cycles or 3-stars.

ON UNIFORMLY RESOLVABLE (C4,K1,3)-DESIGNS

Bonacini P.
;
Milici S.;
2022-01-01

Abstract

In this paper, we consider the uniformly resolvable decompositions of the complete graph Kv minus a 1-factor (Kv − I) into sub-graphs where each resolution class contains only blocks isomorphic to the same graph. We completely determine the spectrum for the case in which all the resolution classes consist of either 4-cycles or 3-stars.
2022
3-stars
4-cycles
Resolvable graph decomposition
uniform resolutions
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/578309
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