Matching cardinality graphs











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Show that a graph $G$ contains a matching of cardinality $p$ if and only if $q(G−S) le |S|+|G|−2p, ∀S ⊆ V (G)$.



//Again a problem that i encountered in my book about graphs theory.Any tip would be appreciated//










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  • What is $q(G−S) $?
    – hbm
    8 hours ago















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Show that a graph $G$ contains a matching of cardinality $p$ if and only if $q(G−S) le |S|+|G|−2p, ∀S ⊆ V (G)$.



//Again a problem that i encountered in my book about graphs theory.Any tip would be appreciated//










share|cite|improve this question









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  • What is $q(G−S) $?
    – hbm
    8 hours ago













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up vote
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down vote

favorite











Show that a graph $G$ contains a matching of cardinality $p$ if and only if $q(G−S) le |S|+|G|−2p, ∀S ⊆ V (G)$.



//Again a problem that i encountered in my book about graphs theory.Any tip would be appreciated//










share|cite|improve this question









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John doe is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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Show that a graph $G$ contains a matching of cardinality $p$ if and only if $q(G−S) le |S|+|G|−2p, ∀S ⊆ V (G)$.



//Again a problem that i encountered in my book about graphs theory.Any tip would be appreciated//







graph-theory






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edited 13 hours ago









MathFun123

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459216






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asked 14 hours ago









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  • What is $q(G−S) $?
    – hbm
    8 hours ago


















  • What is $q(G−S) $?
    – hbm
    8 hours ago
















What is $q(G−S) $?
– hbm
8 hours ago




What is $q(G−S) $?
– hbm
8 hours ago















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