Geodesic
Interval Incidence Coloring of Subcubic Graphs
Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 2, pp. 427-441

Voir la notice de l'article provenant de la source Library of Science

In this paper we study the problem of interval incidence coloring of subcubic graphs. In [14] the authors proved that the interval incidence 4-coloring problem is polynomially solvable and the interval incidence 5-coloring problem is NP-complete, and they asked if Xii(G) ≤ 2Δ(G) holds for an arbitrary graph G. In this paper, we prove that an interval incidence 6-coloring always exists for any subcubic graph G with Δ(G) = 3.
Keywords: interval incidence coloring, incidence coloring, subcubic graph 
@article{DMGT_2017_37_2_a8,
     author = {Ma{\l}afiejska, Anna and Ma{\l}afiejski, Micha{\l}},
     title = {Interval {Incidence} {Coloring} of {Subcubic} {Graphs}},
     journal = {Discussiones Mathematicae. Graph Theory},
     pages = {427--441},
     publisher = {mathdoc},
     volume = {37},
     number = {2},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DMGT_2017_37_2_a8/}
}
TY  - JOUR
AU  - Małafiejska, Anna
AU  - Małafiejski, Michał
TI  - Interval Incidence Coloring of Subcubic Graphs
JO  - Discussiones Mathematicae. Graph Theory
PY  - 2017
SP  - 427
EP  - 441
VL  - 37
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DMGT_2017_37_2_a8/
LA  - en
ID  - DMGT_2017_37_2_a8
ER  - 
%0 Journal Article
%A Małafiejska, Anna
%A Małafiejski, Michał
%T Interval Incidence Coloring of Subcubic Graphs
%J Discussiones Mathematicae. Graph Theory
%D 2017
%P 427-441
%V 37
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DMGT_2017_37_2_a8/
%G en
%F DMGT_2017_37_2_a8
Małafiejska, Anna; Małafiejski, Michał. Interval Incidence Coloring of Subcubic Graphs. Discussiones Mathematicae. Graph Theory, Tome 37 (2017) no. 2, pp. 427-441. http://geodesic.mathdoc.fr/item/DMGT_2017_37_2_a8/