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Information Seminar Paper

Title

NEW BOUNDS ON THE INDEPENDENCE NUMBER OF HYPERGRAPHS

Pages

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Abstract

 A SUBSET OF VERTICES IN A HYPERGRAPH H IS AN INDEPENDENT SET IF IT CONTAINS NO EDGE OF H. THE INDEPENDENCE NUMBER, A(H), OF H IS THE MAXIMUM CARDINALITY OF AN INDEPENDENT SET IN H. OUR MAIN RESULT IS AN IMPROVEMENT OF A LOWER BOUND FOR THE INDEPENDENCE NUMBER OF 2-UNIFORM HYPERGRAPHS DUE TO HENNING AND L¨OWENSTEIN (2014) WHO PROVED THAT IFH IS A CONNECTED 2-UNIFORM HYPERGRAPH OF ORDERN AND SIZE M AND H DOES NOT BELONG TO A SPECIFIC FAMILY OF HYPERGRAPHS, THEN A(H)>2/3N − 1/4 M. FURTHER THEY CHARACTERIZE THE HYPERGRAPHSH FOR WHICH A(H) £ 2/3N − 1/4M. IN THIS PAPER WE IMPROVE AFORESAID BOUND FOR CONNECTED 2-UNIFORM HYPERGRAPHS OF MAXIMUM DEGREE AT LEAST FOUR. ALSO WE CHARACTERIZE ALL CONNECTED 2-UNIFORM HYPERGRAPHS ACHEIVING EQUALITY FOR THIS BOUND.

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  • Cite

    APA: Copy

    Sharifi, Elahe, & JAFARIRAD, NADER. (). . . SID. https://sid.ir/paper/938749/en

    Vancouver: Copy

    Sharifi Elahe, JAFARIRAD NADER. . . Available from: https://sid.ir/paper/938749/en

    IEEE: Copy

    Elahe Sharifi, and NADER JAFARIRAD, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938749/en

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