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L(2,1)-coloring
L(2, 1)-coloring is a particular case of L(h, k)-coloring In graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') .... In an L(2, 1)-coloring of a graph, G, the vertices of G are assigned color numbers in such a way that adjacent vertices get labels that differ by at least two, and the vertices that are at a distance of two from each other get labels that differ by at least one. An L(2,1)-coloring is a proper coloring, since adjacent vertices are assigned distinct colors. References Graph coloring {{Combin-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Proper Coloring
In graph theory, graph coloring is a special case of graph labeling; it is an assignment of labels traditionally called "colors" to elements of a graph subject to certain constraints. In its simplest form, it is a way of coloring the vertices of a graph such that no two adjacent vertices are of the same color; this is called a vertex coloring. Similarly, an edge coloring assigns a color to each edge so that no two adjacent edges are of the same color, and a face coloring of a planar graph assigns a color to each face or region so that no two faces that share a boundary have the same color. Vertex coloring is often used to introduce graph coloring problems, since other coloring problems can be transformed into a vertex coloring instance. For example, an edge coloring of a graph is just a vertex coloring of its line graph, and a face coloring of a plane graph is just a vertex coloring of its dual. However, non-vertex coloring problems are often stated and studied as-is. This is pa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
L(h, K)-coloring
In graph theory In mathematics, graph theory is the study of ''graphs'', which are mathematical structures used to model pairwise relations between objects. A graph in this context is made up of '' vertices'' (also called ''nodes'' or ''points'') which are conne ..., a L(''h'', ''k'')-labelling, L(''h'', ''k'')-coloring or sometimes L(''p'', ''q'')-coloring is a (proper) vertex coloring in which every pair of adjacent vertices has color numbers that differ by at least ''h'', and any nodes connected by a 2 length path have their colors differ by at least ''k''. The parameters, ''h'' and ''k'' are understood to be non-negative integers. The problem originated from a channel assignment problem in radio networks. The span of an L(''h'', ''k'')-labelling, ρh,k(G) is the difference between the largest and the smallest assigned frequency. The goal of the L(''h'', ''k'')-labelling problem is usually to find a labelling with minimum span. For a given graph, the minimum span over all poss ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
L(2,1)-coloring Of C6
L, or l, is the twelfth letter in the Latin alphabet, used in the modern English alphabet, the alphabets of other western European languages and others worldwide. Its name in English is ''el'' (pronounced ), plural ''els''. History Lamedh may have come from a pictogram of an ox goad or cattle prod. Some have suggested a shepherd's staff. Use in writing systems Phonetic and phonemic transcription In phonetic and phonemic transcription, the International Phonetic Alphabet uses to represent the lateral alveolar approximant. English In English orthography, usually represents the phoneme , which can have several sound values, depending on the speaker's accent, and whether it occurs before or after a vowel. The alveolar lateral approximant (the sound represented in IPA by lowercase ) occurs before a vowel, as in ''lip'' or ''blend'', while the velarized alveolar lateral approximant (IPA ) occurs in ''bell'' and ''milk''. This velarization does not occur in many European langu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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