AbstractThe Four Color Conjecture (4CC) is shown to be equivalent with the existence of absolute retracts in the class P of all planar graphs and also with some other conditions on the class P. Assuming the 4CC is true we determine all absolute planar retracts. A possible argument for the decidability∗∗Here we use the word decidability in a nontechnical sense which will be clear from the context. of the 4CC is discussed and proved to be equivalent to the 4CC itself
The four-colour conjecture (4CC) is a question that asks whether any map can be coloured using only ...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
AbstractThe Four Color Conjecture (4CC) is shown to be equivalent with the existence of absolute ret...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
It is well known that the problem of planar graph colorability is strictly related to the famous fou...
Maximal planar graph refers to the planar graph with the most edges, which means no more edges can b...
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 ...
AbstractThe Four Colour Conjecture is reformulated as a statement about non-divisibility of certain ...
AbstractLet G be a 4-regular planar graph and suppose that G has a cycle decomposition S (i.e., each...
First, let a graph be a set of vertices (points) and a set of edges (lines) connecting these vertice...
Aksenov proved that in a planar graph G with at most one triangle, every precoloring of a 4-cycle ca...
Although the Four Colour Theorem is passe, we give an elementary pre-formal proof that transparently...
AbstractAn absolute retract is a graph (without loops) for which every isometric embedding into anot...
The four-colour conjecture (4CC) is a question that asks whether any map can be coloured using only ...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
AbstractThe Four Color Conjecture (4CC) is shown to be equivalent with the existence of absolute ret...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
It is well known that the problem of planar graph colorability is strictly related to the famous fou...
Maximal planar graph refers to the planar graph with the most edges, which means no more edges can b...
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 ...
AbstractThe Four Colour Conjecture is reformulated as a statement about non-divisibility of certain ...
AbstractLet G be a 4-regular planar graph and suppose that G has a cycle decomposition S (i.e., each...
First, let a graph be a set of vertices (points) and a set of edges (lines) connecting these vertice...
Aksenov proved that in a planar graph G with at most one triangle, every precoloring of a 4-cycle ca...
Although the Four Colour Theorem is passe, we give an elementary pre-formal proof that transparently...
AbstractAn absolute retract is a graph (without loops) for which every isometric embedding into anot...
The four-colour conjecture (4CC) is a question that asks whether any map can be coloured using only ...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
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