AbstractWe prove the conjecture made by Bermond, Fouquet, Habib, and Péroche in 1984 that every cubic graph has an edge-coloring as described in the title. The number 5 cannot be replaced by 4
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
AbstractWe prove the conjecture made by Bermond, Fouquet, Habib, and Péroche in 1984 that every cubi...
Hopkins and Staton [8] and Bondy and Locke [2] proved that every (sub)cubic graph of girth at least ...
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
Soumis pour publication le 15 février 2019.The Petersen colouring conjecture states that every bridg...
AbstractTutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Pete...
A strong edge-coloring $\varphi$ of a graph $G$ assigns colors to edges of $G$ such that $\varphi(e_...
A graph is apex if there is a vertex whose deletion makes the graph planar, and doublecross if it ca...
AbstractThe Berge–Fulkerson Conjecture states that every cubic bridgeless graph has six perfect matc...
Vizing’s theorem tells us that cubic graphs are edge-colorable by either 3 or 4 colors. Graphs for w...
In a paper by Burris and Schelp [3], a conjecture was made concerning the number of colors χ′s(G) re...
A total coloring is equitable if the number of elements colored with each color differs by at most o...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
AbstractWe prove the conjecture made by Bermond, Fouquet, Habib, and Péroche in 1984 that every cubi...
Hopkins and Staton [8] and Bondy and Locke [2] proved that every (sub)cubic graph of girth at least ...
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
Soumis pour publication le 15 février 2019.The Petersen colouring conjecture states that every bridg...
AbstractTutte made the conjecture in 1966 that every 2-connected cubic graph not containing the Pete...
A strong edge-coloring $\varphi$ of a graph $G$ assigns colors to edges of $G$ such that $\varphi(e_...
A graph is apex if there is a vertex whose deletion makes the graph planar, and doublecross if it ca...
AbstractThe Berge–Fulkerson Conjecture states that every cubic bridgeless graph has six perfect matc...
Vizing’s theorem tells us that cubic graphs are edge-colorable by either 3 or 4 colors. Graphs for w...
In a paper by Burris and Schelp [3], a conjecture was made concerning the number of colors χ′s(G) re...
A total coloring is equitable if the number of elements colored with each color differs by at most o...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
A k-bisection of a bridgeless cubic graph G is a 2-colouring of its vertex set such that the colour ...
A graph G arrows a graph H if in every 2-edge-colouring of G there exists a monochromatic copy of H....
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