Let H be a connected subgraph of a graph G. An H-factor of G is a spanning subgraph of G whose components are isomorphic to H. Given a set H of mutually non-isomorphic graphs, a uniform H-factorization of G is a partition of the edges of G into H-factors for some H ∈ H. In this article, we give a complete solution to the existence problem for uniform (C_k, P_k+1 )-factorizations of K_n − I in the case when k is even.

Uniform (C_k, P_k+1)-Factorizations of Kn − I When k Is Even

Lo Faro G.
Primo
;
Tripodi A.
Ultimo
2022-01-01

Abstract

Let H be a connected subgraph of a graph G. An H-factor of G is a spanning subgraph of G whose components are isomorphic to H. Given a set H of mutually non-isomorphic graphs, a uniform H-factorization of G is a partition of the edges of G into H-factors for some H ∈ H. In this article, we give a complete solution to the existence problem for uniform (C_k, P_k+1 )-factorizations of K_n − I in the case when k is even.
2022
Inglese
ELETTRONICO
Si
MDPI
10
6
1
7
7
https://www.mdpi.com/2227-7390/10/6/936
Internazionale
Esperti anonimi
block design; complete graph; graph factorization
no
info:eu-repo/semantics/article
Lo Faro, G.; Milici, S.; Tripodi, A.
14.a Contributo in Rivista::14.a.1 Articolo su rivista
3
262
open
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11570/3227098
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