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Let G be a bridgeless cubic graph. Consider a list of k 1-factors of G. Let [ABSTRACT FROM AUTHOR]

The lighter chargino three body decays $$\tilde{\chi }_1^\pm \rightarrow \tilde{\chi }_1^0 f f^\prime $$ via the $$W^\pm $$ boson and the charged Higgs boson $$H^\pm $$ were studied in the R-parity conserved Minimal Supersymmetric Standard Model (MSSM). We treat $$\tilde{\chi }_1^\pm $$ decays as production and decay of $$W^\pm $$ and $$H^\pm $$ : i.e., $$\tilde{\chi }_1^\pm \rightarrow \tilde{\chi }_1^0 W^\pm (H^\pm ) \rightarrow \tilde{\chi }_1^0 f f^\prime $$ . Both higgsino-like and wino-like $$\tilde{\chi }_1^\pm $$ decays were well investigated. These decays are calculated at 1-loop level and the loop corrections are found to be less than three percent. The signal of the charged Higgs $$H^\pm $$ production from $$\tilde{\chi }_1^\pm $$ decays is discussed. It will offer important information about the chargino and neutralino sector, as well as the charged Higgs sector in the MSSM. [ABSTRACT FROM AUTHOR]