Add to ORKGTait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges of any planar, three-regular, two-edge connected graph. Not surprisingly, this equivalent problem proved to be equally difficult. We consider the problem of fractional colorings, which resemble ordinary colorings but allow for some degree of cheating. Happily, it is known that every planar three-regular, two-edge connected graph is fractionally three-edge colorable. Is there an analogue to Tait’s Theorem which would allow us to derive the Fractional Four Color Theorem from this edge-coloring result
AbstractNo proof of the 4-color conjecture reveals why it is true; the goal has not been to go beyon...
AbstractTutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Pete...
In 1977, Appel and Haken proved that every planar graph is four vertex colourable which finally prov...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
The famous Four Color Theorem states that any planar graph can be properly colored using at most fou...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
AbstractFor the vertices of a finite 4-colored planar graph, regular of degree three, certain orient...
A conjecture due to the fourth author states that every $d$-regular planar multigraph can be $d$-edg...
AbstractNo proof of the 4-color conjecture reveals why it is true; the goal has not been to go beyon...
AbstractTutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Pete...
In 1977, Appel and Haken proved that every planar graph is four vertex colourable which finally prov...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
Tait showed in 1878 that the Four Color Theorem is equivalent to being able to three-color the edges...
We study graph colorings of the form made popular by the four-color theorem. Proved by Appel and Hak...
In this note we are proving the four conjecture for planar graphs. The proof follows the Euler...
noneFor 66 years, research on the four-color theorem was dominated by Tait's Hamiltonian graph conje...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
AbstractThe four-colour theorem, that every loopless planar graph admits a vertex-colouring with at ...
The famous four color theorem states that for all planar graphs, every vertex can be assigned one of...
The famous Four Color Theorem states that any planar graph can be properly colored using at most fou...
We study the following problem: given a real number k and an integer d, what is the smallest ε such ...
AbstractFor the vertices of a finite 4-colored planar graph, regular of degree three, certain orient...
A conjecture due to the fourth author states that every $d$-regular planar multigraph can be $d$-edg...
AbstractNo proof of the 4-color conjecture reveals why it is true; the goal has not been to go beyon...
AbstractTutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Pete...
In 1977, Appel and Haken proved that every planar graph is four vertex colourable which finally prov...