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Uniformly Resolvable Decompositions of K v - I into n -Cycles and n -Stars, for Even n

Author

Listed:
  • Giovanni Lo Faro

    (Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, 98166 Messina, Italy)

  • Salvatore Milici

    (Dipartimento di Matematica e Informatica, Università di Catania, 95131 Catania, Italy)

  • Antoinette Tripodi

    (Dipartimento di Scienze Matematiche e Informatiche, Scienze Fisiche e Scienze della Terra, Università di Messina, 98166 Messina, Italy)

Abstract

If X is a connected graph, then an X -factor of a larger graph is a spanning subgraph in which all of its components are isomorphic to X . Given a set Γ of pairwise non-isomorphic graphs, a uniformly resolvable Γ -decomposition of a graph G is an edge decomposition of G into X -factors for some graph X ∈ Γ . In this article we completely solve the existence problem for decompositions of K v - I into C n -factors and K 1 , n -factors in the case when n is even.

Suggested Citation

  • Giovanni Lo Faro & Salvatore Milici & Antoinette Tripodi, 2020. "Uniformly Resolvable Decompositions of K v - I into n -Cycles and n -Stars, for Even n," Mathematics, MDPI, vol. 8(10), pages 1-9, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1755-:d:426866
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    Cited by:

    1. Giovanni Lo Faro & Salvatore Milici & Antoinette Tripodi, 2023. "Uniform { C h , S ( C h )}-Factorizations of K n − I for Even h," Mathematics, MDPI, vol. 11(16), pages 1-8, August.

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