scholarly journals A Logical Proof of the Four Color Problem

2020 ◽  
Vol 08 (05) ◽  
pp. 831-837
Author(s):  
Yu Wang
Keyword(s):  
2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Aleksander J. Cianciara ◽  
S. James Gates ◽  
Yangrui Hu ◽  
Renée Kirk

Abstract A conjecture is made that the weight space for 4D, $$ \mathcal{N} $$ N -extended supersymmetrical representations is embedded within the permutahedra associated with permutation groups 𝕊d. Adinkras and Coxeter Groups associated with minimal representations of 4D, $$ \mathcal{N} $$ N = 1 supersymmetry provide evidence supporting this conjecture. It is shown that the appearance of the mathematics of 4D, $$ \mathcal{N} $$ N = 1 minimal off-shell supersymmetry representations is equivalent to solving a four color problem on the truncated octahedron. This observation suggest an entirely new way to approach the off-shell SUSY auxiliary field problem based on IT algorithms probing the properties of 𝕊d.


1958 ◽  
Vol 1 (2) ◽  
pp. 134-138

1. Explain briefly what is meant by each of the following: (i) Euler path(ii) fixed point theorem(iii) four color problem(iv) unit braid of order n(v) MBbius band.


1955 ◽  
Vol 6 (2) ◽  
pp. 191
Author(s):  
Philip Butcher ◽  
Ernest B. Zeisler
Keyword(s):  

1937 ◽  
Vol 59 (3) ◽  
pp. 515 ◽  
Author(s):  
C. E. Winn
Keyword(s):  

1994 ◽  
Vol 08 (07) ◽  
pp. 439-443
Author(s):  
A. V. BAKAEV ◽  
V. I. KABANOVICH

We propose a stochastic method for computing partition functions of models which can be stated as lattice spin models. The method admits averaging over independent realizations, thus is well suited for simulating models on finite lattices. We apply this method to the 3-color problem on cubic map.


1961 ◽  
Vol 15 (75) ◽  
pp. 250-250 ◽  
Author(s):  
Hidehiko Yamabe ◽  
David Pope

2012 ◽  
Vol 192 ◽  
pp. 275-279
Author(s):  
Bing Feng Yu

The paper takes self-developed great aqueous inking oil formulated into screen-printing aqueous ceramic ink under glaze color of once firing as the breakthrough point to choose proper decal paper and the best paper structure. It adopts modern screen-printing technology and searches new production process of ceramic decal under glaze color to solve some problems, such as the uselessness of fine lines, the mistakes of the short line, fault ink and color problem during delicate screen-printing and appliqué, and the defects of injury of glaze during appliqué, and to research new and high-grade screen-printing ceramic decal paper under glaze color of once firing.


Science News ◽  
1968 ◽  
Vol 93 (19) ◽  
pp. 444
Author(s):  
James Stewart
Keyword(s):  

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