منابع مشابه
Relaxed two-coloring of cubic graphs
We show that any graph of maximum degree at most has a two-coloring, such that one color-class is an independent set while the other color induces monochromatic components of order at most . On the other hand for any constant we exhibit a -regular graph, such that the deletion of any independent set leaves at least one component of order greater than . Similar results are obtained for coloring ...
متن کاملTwo related questions on total coloring of cubic graphs
By proposing two questions on total colorings of cubic graphs of large girth, we investigate a possible connection between girth and total chromatic parameters in cubic graphs.
متن کاملOptimal acyclic edge-coloring of cubic graphs
? Users may download and print one copy of any publication from the public portal for the purpose of private study or research. ? You may not further distribute the material or use it for any profit-making activity or commercial gain ? You may freely distribute the URL identifying the publication in the public portal ? Take down policy If you believe that this document breaches copyright please...
متن کاملOn incidence coloring for some cubic graphs
In 1993, Brualdi and Massey conjectured that every graph can be incidence colored with ∆+2 colors, where ∆ is the maximum degree of a graph. Although this conjecture was solved in the negative by an example in [1], it might hold for some special classes of graphs. In this paper, we consider graphs with maximum degree ∆ = 3 and show that the conjecture holds for cubic Hamiltonian graphs and some...
متن کاملStrong edge-coloring for cubic Halin graphs
A strong edge-coloring of a graph G is a function that assigns to each edge a color such that two edges within distance two apart must receive different colors. The minimum number of colors used in a strong edge-coloring is the strong chromatic index of G. Lih and Liu [14] proved that the strong chromatic index of a cubic Halin graph, other than two special graphs, is 6 or 7. It remains an open...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series B
سال: 2007
ISSN: 0095-8956
DOI: 10.1016/j.jctb.2006.12.001