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Information Seminar Paper

Title

SIMPLICIAL ORDERS AND BETTI NUMBERS OF CHORDAL HYPERGRAPHS

Pages

  -

Abstract

 IN THIS PAPER, WE CONSIDER CHORDAL CLUTTERS AS IT IS DEFINED IN [7] AND [1] VIA SIMPLICIAL ORDERS. THE MAIN IMPORTANCE OF THE CHORDAL CLUTTERS IN THIS SENSE IS THAT THEIR CIRCUIT IDEAL HAS A LINEAR RESOLUTION, INDEPENDENT OF THE CHARACTERISTIC OF THE BASE FIELD. ASSOCIATED WITH ANY SIMPLICIAL ORDER IS A SEQUENCE OF INTEGERS WHICH WE CALL THE-SEQUENCE OF THE CHORDAL CLUTTER. ALL POSSIBLE -SEQUENCES ARE CHARACTERIZED. BY THE-SEQUENCE OF A CHORDAL CLUTTER WE DETERMINE OTHER NUMERICAL INVARIANTS OF THE CIRCUIT IDEAL, SUCH AS THEH-VECTOR AND THE BETTI NUMBERS. WE ALSO SHOW THAT ANY BETTI SEQUENCE OF AN IDEAL WITH LINEAR RESOLUTION APPEARS AS THE BETTI SEQUENCE OF THE CIRCUIT IDEAL OF SUCH A CHORDAL CLUTTER.

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    • Cite

    APA: Copy

    Yazdan Pour, Ali Akbar, BIGDELI, MINA, Herzog, Jurgen, & ZAARE NAHANDI, RASHID. (). . . SID. https://sid.ir/paper/938772/en

    Vancouver: Copy

    Yazdan Pour Ali Akbar, BIGDELI MINA, Herzog Jurgen, ZAARE NAHANDI RASHID. . . Available from: https://sid.ir/paper/938772/en

    IEEE: Copy

    Ali Akbar Yazdan Pour, MINA BIGDELI, Jurgen Herzog, and RASHID ZAARE NAHANDI, “,” presented at the . , [Online]. Available: https://sid.ir/paper/938772/en

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