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某些 NPI 可能是处在相变边界的 NPC
从王小平老师的博客里,看到2015年 Knuth Prize 得主,芝加哥大学的数学和计算机科学教授 László Babai 宣布他想出了一个新的解决“图同构”问题的算法——这个问题在计算机科学中算得上是最诱人的奥秘。
一时兴起,偶有心得,蒙“中科院科学智慧火花”审查,给予贴出:
核心:
某些NPC,随着数量关系的增加,存在从P到NPC的相变。猜想:某些NPI可能是处在相变边界的NPC。
“约翰逊图 Johnson graphs” 会不会是NPC的?
以上想法,不是深思熟虑的结果。只是一时的心得或猜想。
相关链接:
[1] 王小平,2015-12-18,[转载]著名数学家宣布解决算法难题,或打破30年僵局
http://blog.sciencenet.cn/blog-1225851-944276.html
[2] Erica Klarreich, December 14, 2015, COMPUTER SCIENCE, Landmark Algorithm Breaks 30-Year Impasse, Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field.
https://www.quantamagazine.org/20151214-graph-isomorphism-algorithm/
[3] László Babai, Submitted on 11 Dec 2015, Graph Isomorphism in Quasipolynomial Time
http://arxiv.org/abs/1512.03547v1
[4] László Babai's Home Page - Departments of Computer Science and Mathematics, University of Chicago
http://people.cs.uchicago.edu/~laci/
[5] Complexity theory. G. RozenbergA. Salomaa (originator), Encyclopedia of Mathematics.
http://www.encyclopediaofmath.org/index.php?title=Complexity_theory&oldid=14425
[6] NP. Hubertus Th. JongenKlaus Meer (originator), Encyclopedia of Mathematics.
http://www.encyclopediaofmath.org/index.php?title=NP&oldid=15503
[7] Algorithm, computational complexity of an. N.V. Petri (originator), Encyclopedia of Mathematics.
[8] 2015-05-22,The kernel of "P vs NP Problem": Axiom of power set!
http://blog.sciencenet.cn/blog-107667-892400.html
[9] 正式的介绍材料之一,2012-03-23,[请教] P对NP:请郝克刚教授等专家指教(一)
http://blog.sciencenet.cn/blog-107667-550859.html
[10] 科学智慧火花,2011-08-30,“P对NP”难题研究的形转换新思路
http://idea.cas.cn/viewdoc.action?docid=1275#d1
感谢您指正以上任何错误!
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