# Combinatorics and Graph Theory

## 1605 Submissions

[2] **viXra:1605.0213 [pdf]**
*submitted on 2016-05-20 20:24:35*

### Intuition-Based ai for Solutions of NP-Complete Problems.

**Authors:** Michail Zak

**Comments:** 15 Pages.

The challenge of this paper is to relate artificial intuition-based intelligence, represented by self-supervised systems, to solutions of NP-complete problems. By self-supervised systems we understand systems that are capable to move from disorder to order without external effort, i.e. in violation of the second law of thermodynamics. It has been demonstrated, [1], that such systems exist in the mathematical world: they are presented by ODE coupled with their Liouville equation, but they belong neither to Newtonian nor to quantum physics since they are capable to violate the second law of thermodynamics. That suggests that machines could not simulate intuition-based intelligence if they are composed only of physical parts, but without digital components. Nevertheless it was found such quantum-classical hybrids, [1], that simulates some of self-supervised systems. The main achievement of this work is a demonstration that self-supervised systems can solve NP-complete problems in polynomial time by replacing an enumeration of exponentially large number of possible choices with a short cut provided by a non-Newtonian and non-quantum nature of self-supervised systems.

**Category:** Combinatorics and Graph Theory

[1] **viXra:1605.0023 [pdf]**
*submitted on 2016-05-03 01:14:32*

### Sequences of Primes Obtained by the Method of Concatenation (Collected Papers)

**Authors:** Marius Coman

**Comments:** 151 Pages.

The purpose of this book is to show that the method of concatenation can be a powerful tool in
number theory and, in particular, in obtaining possible infinite sequences of primes.

**Category:** Combinatorics and Graph Theory