The circular chromatic index χ′c(G) of G is defined as the infimum of fractions k/d for all (k,d)-edge colorings of G: χ′ c (G)= inf {k/d:G has a (k,d) -edge ...
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With this, the circular chromatic index can also be defined as the infimum of r for all r-circular edge colorings of G. The equivalence of these definitions can ...
The chromatic index χ′(G) of a graph G is the minimum number of colors needed to color the edges so that incident edges receive distinct colors. In the case of ...
We are now ready to determine the circular chromatic index of F3: Theorem 2. The circular chromatic index of F3 is 7/2. Proof. A 7/2-circular edge-coloring of ...
kral@kam.mff.cuni.cz. Serguei. Norine. z. School of Mathematics. Georgia. Institute. of Technology. Atlan. ta,. GA. 30332,. USA. snorine@math.gatech.edu.
In graph theory, circular coloring is a kind of coloring that may be viewed as a refinement of the usual graph coloring.
The circular chromatic index of a graph G is the infimum of all rational numbers p / q , such that there exists a circular p / q -edge-coloring of the graph ...
Abstract. The circular chromatic index of a graph G is the infimum of all rational numbers p/q, such that there exists a circular p/q-edge-coloring of the ...
In this paper, we study circular edge-colorings of graphs with large girth and we show that their circular chromatic index is close to ∆. The concept of ...
The aim of this work is to find a general lower bound on the circular chromatic index and to use it to determine the circular chromatic index of the Blanuša ...