Authors: Wenming Zhang
We discuss the P versus NP problem from the perspective of addition operation about polynomial functions. Two contradictory propositions for the addition operation are presented. With the proposition that the sum of k (k<=n+1) polynomial functions on n always yields a polynomial function, we prove that P=NP, considering the maximum clique problem. And with the proposition that the sum of k polynomial functions may yield an exponential function, we prove that P!=NP by constructing an abstract decision problem. Furthermore, we conclude that P=NP and P!=NP if and only if the above propositions hold, respectively.
Comments: 5 Pages. This is a short and interesting paper.
Unique-IP document downloads: 119 times
Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.
Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.