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Total Colorings of Degenerated Graphs

Combinatorica, 2001
A total coloring of a graph G is a coloring of all elements of G, i.e. vertices and edges, such that no two adjacent or incident elements receive the same color. A graph G is s-degenerate for a positive integer s if G can be reduced to a trivial graph by successive removal of vertices with degree ≤s.
Shuji Isobe, Xiao Zhou, Takao Nishizeki
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Congenital Total Color Blindness

Archives of Ophthalmology, 1960
Introduction It is the purpose of this communication to record the occurrence of congenital total color blindness, or achromatopsia, in 2 brothers. In addition, one of the patients suffered from peroneal muscular atrophy (Charcot-Marie-Tooth disease), and the death of the second patient afforded the opportunity to study the retinal histology.
R, HARRISON, D, HOEFNAGEL, J N, HAYWARD
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A decomposition for total‐coloring partial‐grids and list‐total‐coloring outerplanar graphs

Networks, 2011
AbstractThe total chromatic number χT(G) is the least number of colors sufficient to color the elements (vertices and edges) of a graph G in such a way that no incident or adjacent elements receive the same color. In the present work, we obtain two results on total‐coloring. First, we extend the set of partial‐grids classified with respect to the total‐
Machado, Raphael C. S.   +1 more
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Total Colorings of Graphs with Minimum Sum of Colors

Graphs and Combinatorics, 2016
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Kubicka, Ewa M.   +2 more
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Totally symmetric colored graphs

Journal of Graph Theory, 2009
AbstractIn this paper we describe almost all edge‐colored complete graphs that are fully symmetric with respect to colors and transitive on every set of edges of the same color. This generalizes the recent description of self‐complementary symmetric graphs by Peisert and gives examples of permutation groups that require more than 5 colors to be ...
Grech, Mariusz, Kisielewicz, Andrzej
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Total Dominator Colorings and Total Domination in Graphs

Graphs and Combinatorics, 2014
Given a graph \(G\), a total dominator coloring is a proper coloring of the vertices of \(G\) in which each vertex is adjacent to every vertex of some color class. The total dominator chromatic number \(\chi_{d}^{t}(G)\) of \(G\) is the minimum number of colors among all total dominator colorings of \(G\). A total dominating set of \(G\) is a set \(S\)
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Neighbor sum distinguishing total coloring and list neighbor sum distinguishing total coloring

Discrete Applied Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lu, You, Han, Miaomiao, Luo, Rong
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Total colorings of circulant graphs

Discrete Mathematics, Algorithms and Applications, 2020
The total chromatic number [Formula: see text] is the least number of colors needed to color the vertices and edges of a graph [Formula: see text] such that no incident or adjacent elements (vertices or edges) receive the same color. Behzad and Vizing proposed a well-known total coloring conjecture (TCC): [Formula: see text], where [Formula: see text]
Geetha, J.   +2 more
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Decorrelation of color images using total color difference

SPIE Proceedings, 1991
ABSTRACT Numerous successful methodologies have been developed for grey scale image processing and analysis. However, theirapplications to color images are plagued because of the multi-dimensionality and inter-correlation of color images. In thispaper, we examine the decorrelation of color images using the principal component analysis.
Joe Zheng   +2 more
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TOTAL CONGENITAL COLOR BLINDNESS

Journal of the American Medical Association, 1928
It is odd that total color blindness, a subject of such elementary importance to so many branches of medicine, physiologic optics, neurology, psychology, heredity and the like, has been almost overlooked in this country. Bell's1exhaustive bibliography, issued two years ago, cites only one report2from this continent out of the 119 cases recorded.3One ...
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