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Bounds for the minimum numbers of generators of generalized Cohen-Macaulay ideals

✍ Scribed by Ngo Viet Trung


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
374 KB
Volume
90
Category
Article
ISSN
0021-8693

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## Abstract In this note, we prove that the cop number of any __n__‐vertex graph __G__, denoted by ${{c}}({{G}})$, is at most ${{O}}\big({{{n}}\over {{\rm lg}} {{n}}}\big)$. Meyniel conjectured ${{c}}({{G}})={{O}}(\sqrt{{{n}}})$. It appears that the best previously known sublinear upper‐bound is du