講演名 2011-06-30
On the Constant Depth Circuit Complexity of Subgraph Isomorphism on Random Graphs
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抄録(和)
抄録(英) The AC^0 circuit complexity of k-clique on random graphs is already known. Rossman established the lower bound n^<ω(k/4)> in 2008, and Amano establishd the upper bound n^ in 2009. But complexity of subgraph isomorphism is still unknown. These results, for compute complexity of k-clique problem, are can applcate to subgraph isomorphism. So by the new function c(H) and c(H), we can represent the Rossman's result is n^ lower bound and Amano's result is n^ upper bound of subgraph isomorphism. But c(H) and c(H) are not so simple. In this paper, we prove that these bounds are not tight, namely, gap between c(H) and c(H) is large by showing that a family of graph that elements have constant c(H) and proportion to the size tildac(H). This means that, the complexity of this problem is still unknown, And c(H) or c(H) to be room for implovement.
キーワード(和)
キーワード(英)
資料番号 COMP2011-20
発行日

研究会情報
研究会 COMP
開催期間 2011/6/23(から1日開催)
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委員長氏名(和)
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副委員長氏名(和)
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講演論文情報詳細
申込み研究会 Theoretical Foundations of Computing (COMP)
本文の言語 ENG
タイトル(和)
サブタイトル(和)
タイトル(英) On the Constant Depth Circuit Complexity of Subgraph Isomorphism on Random Graphs
サブタイトル(和)
キーワード(1)(和/英)
第 1 著者 氏名(和/英) / Koutarou NAKAGAWA
第 1 著者 所属(和/英)
Department of Mathematical and Computing Sciences, Graduate School of Information Science and Engineering, Tokyo Institute of Technology
発表年月日 2011-06-30
資料番号 COMP2011-20
巻番号(vol) vol.111
号番号(no) 113
ページ範囲 pp.-
ページ数 5
発行日