Planar graphs of girth at least five with bounded maximum degree Δ have fractional chromatic number at most.
Sep 14, 2018 · Consequently, planar graphs of girth at least five with bounded maximum degree Delta have fractional chromatic number at most 3-3/(2M_Delta+1).
Abstract. A graph G is (a : b)-colorable if there exists an assignment of b-element subsets of. \{ 1,...,a\} to vertices of G such that sets assigned to ...
We prove that every planar triangle-free graph on $n$ vertices has fractional chromatic number at most $3-3/(3n+1)$.
Consequently, planar graphs of girth at least five with bounded maximum degree Delta have fractional chromatic number at most 3-3/(2M_Delta+1).
Jan 1, 2020 · Planar graphs of girth at least five with bounded maximum degree $\Delta$ have fractional chromatic number at most $3-\frac{3}{2M_{\Delta}+1}$.
Fractional Coloring of Planar Graphs of Girth Five. February 2020; SIAM ... This concept generalises the notion of colouring the square of graphs and of cyclic ...
Zdenek Dvorák , Xiaolan Hu : Fractional Coloring of Planar Graphs of Girth Five. SIAM J. Discret. Math. 34(1): 538-555 (2020). manage site settings.
Dec 1, 2021 · The main result of this paper consists in showing, via a novel application of the discharging method, that the 4-recolouring graph of every planar graph of ...
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One that has received significant attention is coloring the square G 2 of a planar graph G, where V ( G 2 ) = V ( G ) and u v ∈ E ( G 2 ) if dist G ( u , v ) ≤ ...
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