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- W1966306104 abstract "We consider sets of fixed points of finite simple undirected connected graphs with 1 – factorizations. The maximum number of fixed points of complete graphs K2n (n > 2) is n if n ≡ 0 mod 4, n — 1 if n ≡ 3 mod 4 or n ≡ 5 mod 12, n — 2 if n ≡ 2 mod 4, n — 3 if n ≡ 1 mod 4 and n ≢ 5 (mod 12). The maximum number of fixed points of 1 – factorizations of (non – complete) graphs with 2n vertices is less than or equal to n. If n is a prime number, then there are graphs with 2n vertices whose 1 – factorizations have automorphisms with n fixed points. Moreover, a result on the structure of a group of fixed – point – free automorphisms is presented." @default.
- W1966306104 created "2016-06-24" @default.
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- W1966306104 date "2000-02-01" @default.
- W1966306104 modified "2023-09-26" @default.
- W1966306104 title "Fixed Points of Automorphisms of Graphs with 1 - Factorizations" @default.
- W1966306104 doi "https://doi.org/10.1002/(sici)1522-2616(200002)210:1<59::aid-mana59>3.0.co;2-d" @default.
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