Coloring Powers of Planar Graphs

From MaRDI portal
Publication:4443117

DOI10.1137/S0895480100367950zbMath1029.05047OpenAlexW2029746920MaRDI QIDQ4443117

Geir Agnarsson, Magnús M. Halldórsson

Publication date: 8 January 2004

Published in: SIAM Journal on Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0895480100367950




Related Items (45)

Chromatic numbers of exact distance graphsWegner's conjecture on 2-distance coloringWegner's conjecture on 2-distance coloring for planar graphsOn Radiocoloring Hierarchically Specified Planar Graphs: $$\mathcal{PSPACE}$$ -completeness and ApproximationsOn coloring numbers of graph powersList 2-distance coloring of planar graphsList injective colorings of planar graphsLocally injective \(k\)-colourings of planar graphsImproved square coloring of planar graphsColoring squares of planar graphs with girth sixColoring squares of planar graphs with maximum degree at most fiveNote on the game colouring number of powers of graphs2-distance choosability of planar graphs with a restriction for maximum degreeA unified approach to distance-two colouring of graphs on surfaces2-distance colorings of integer distance graphsAlgorithms for finding distance-edge-colorings of graphsTree-like distance colouring for planar graphs of sufficient girthLabeling planar graphs with a condition at distance twoVertex coloring acyclic digraphs and their corresponding hypergraphsLabelling planar graphs without 4-cycles with a condition on distance twoAn introduction to the discharging method via graph coloringParameterized complexity of coloring problems: treewidth versus vertex coverInjective \((\Delta + 1)\)-coloring of planar graphs with girth 6A bound on the chromatic number of the square of a planar graphFinding cut-vertices in the square roots of a graphMinimum 2-distance coloring of planar graphs and channel assignmentL(1,1)-Labeling of direct product of cyclesUnnamed ItemList injective coloring of planar graphs with girth \(g \geq 6\)The distance coloring of graphsSufficient sparseness conditions for \(G^2\) to be \((\Delta + 1)\)-choosable, when \(\Delta \geq 5\)Colouring exact distance graphs of chordal graphsList 2-distance \((\varDelta +2)\)-coloring of planar graphs with girth sixList‐Coloring the Squares of Planar Graphs without 4‐Cycles and 5‐Cycles2-Distance Coloring of Planar Graphs without 4-Cycles and 5-Cycles\(2\)-distance coloring of planar graphs with maximum degree \(5\)\(\lambda \)-backbone colorings along pairwise disjoint stars and matchingsDistance constrained labelings of \(K_{4}\)-minor free graphs2-distance \((\varDelta +2)\)-coloring of planar graphs with girth six and \(\varDelta \geq 18\)Geodetic number of powers of cyclesOn the connectivity of k-distance graphs2-Distance coloring of planar graphThe \(r\)-acyclic chromatic number of planar graphsLinear-time algorithms for tree root problemsDistance Constrained Labelings of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msub><mml:mi>K</mml:mi><mml:mn>4</mml:mn></mml:msub></mml:math>-minor Free Graphs




This page was built for publication: Coloring Powers of Planar Graphs