Add to ORKGAbstract. The attempts to prove the Four Color Problem last for years. A little hope arises that the properties of the minimal partial triangulations will be very useful for the solution of the Four Color Problem. That is why the material of this paper is devoted to the examination of the specific partial graphs and their properties. Such graphs will have all the elements of the planar conjugated triangulation, but will have the minimal size. And it will be quite interesting to find out their properties in order to search in the se-quel for the possibility to prove the Four Color Problem on the base of their characteristics. 1
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
Aksenov proved that in a planar graph G with at most one triangle, every precoloring of a 4-cycle ca...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
Abstract. This article is devoted to the properties of the planar triangula-tions. The conjugated pl...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
M.Sc.Within the field of Graph Theory the many ways in which graphs can be coloured have received a ...
A reformulation of the four-color theorem is to say that K 4 is the smallest graph to which every pl...
It is well known that the problem of planar graph colorability is strictly related to the famous fou...
Includes bibliographical references (page 43)The main purpose of this paper is to investigate the co...
Maximal planar graph refers to the planar graph with the most edges, which means no more edges can b...
AbstractLet D be a disc, and let X be a finite subset of points on the boundary of D. An essential p...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
By the Grünbaum-Aksenov Theorem (extending Grötzsch’s Theorem) every planar graph with at most thr...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
Aksenov proved that in a planar graph G with at most one triangle, every precoloring of a 4-cycle ca...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
Abstract. This article is devoted to the properties of the planar triangula-tions. The conjugated pl...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
M.Sc.Within the field of Graph Theory the many ways in which graphs can be coloured have received a ...
A reformulation of the four-color theorem is to say that K 4 is the smallest graph to which every pl...
It is well known that the problem of planar graph colorability is strictly related to the famous fou...
Includes bibliographical references (page 43)The main purpose of this paper is to investigate the co...
Maximal planar graph refers to the planar graph with the most edges, which means no more edges can b...
AbstractLet D be a disc, and let X be a finite subset of points on the boundary of D. An essential p...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
By the Grünbaum-Aksenov Theorem (extending Grötzsch’s Theorem) every planar graph with at most thr...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
Aksenov proved that in a planar graph G with at most one triangle, every precoloring of a 4-cycle ca...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...