Sufficient conditions for planar graphs to be 2-distance (\(\Delta+1\))-colourable

From MaRDI portal
Publication:2575546

zbMath1076.05032MaRDI QIDQ2575546

T. K. Neustroeva, Oleg V. Borodin, Anna O. Ivanova, V. A. Tashkinov, Alekseĭ Nikolaevich Glebov

Publication date: 12 December 2005

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/51820




Related Items (26)

List 2-distance \(\varDelta +3\)-coloring of planar graphs without 4,5-cyclesPlanar graphs of girth at least five are square \((\delta + 2)\)-choosableAn improved bound on 2-distance coloring plane graphs with girth 5Coloring the square of a sparse graph \(G\) with almost \(\varDelta(G)\) colors2-distance list \((\Delta +2)\)-coloring of planar graphs with girth at least 10Degeneracy and colorings of squares of planar graphs without 4-cyclesGraph \(r\)-hued colorings -- a survey2-distance coloring of planar graphs with girth 5Graphs with maximum degree \(\varDelta\geq 17\) and maximum average degree less than 3 are list 2-distance \((\varDelta +2)\)-colorableList injective colorings of planar graphsOptimal \(r\)-dynamic coloring of sparse graphsColoring squares of planar graphs with girth six\(k\)-forested coloring of planar graphs with large girthList \(r\)-hued chromatic number of graphs with bounded maximum average degreesList 2-facial 5-colorability of plane graphs with girth at least 12\(r\)-hued \((r+1)\)-coloring of planar graphs with girth at least 8 for \(r\geq 9\)Tree-like distance colouring for planar graphs of sufficient girthAn introduction to the discharging method via graph coloringOn 2-distance coloring of plane graphs with girth 5Injective \((\Delta + 1)\)-coloring of planar graphs with girth 6Distance constrained labelings of planar graphs with no short cyclesList coloring the square of sparse graphs with large degreeThe \(L(p, q)\)-labelling of planar graphs without 4-cyclesList 2-distance \((\varDelta +2)\)-coloring of planar graphs with girth six2-Distance Coloring of Planar Graphs without 4-Cycles and 5-Cycles2-distance \((\varDelta +2)\)-coloring of planar graphs with girth six and \(\varDelta \geq 18\)




This page was built for publication: Sufficient conditions for planar graphs to be 2-distance (\(\Delta+1\))-colourable