Exact coloring

Exact coloring



The n-coloring of Complete graph K_n is an exact coloring.
In graph theory, an exact coloring is a (proper) vertex coloring in which every pair of colors appears on exactly one pair of adjacent vertices. In essence, an exact coloring is a coloring that is both harmonious and complete. Graphs that admit exact colorings have been classified.

External links

* [http://www.maths.dundee.ac.uk/~kedwards/biblio.html] "A Bibliography of Harmonious Colourings and Achromatic Number" by Keith Edwards


Wikimedia Foundation. 2010.

Игры ⚽ Поможем сделать НИР

Look at other dictionaries:

  • Graph coloring — A proper vertex coloring of the Petersen graph with 3 colors, the minimum number possible. 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… …   Wikipedia

  • Edge coloring — A 3 edge coloring of the Desargues graph. In graph theory, an edge coloring of a graph is an assignment of “colors” to the edges of the graph so that no two adjacent edges have the same color. For example, the figure to the right shows an edge… …   Wikipedia

  • List of mathematics articles (E) — NOTOC E E₇ E (mathematical constant) E function E₈ lattice E₈ manifold E∞ operad E7½ E8 investigation tool Earley parser Early stopping Earnshaw s theorem Earth mover s distance East Journal on Approximations Eastern Arabic numerals Easton s… …   Wikipedia

  • List of graph theory topics — This is a list of graph theory topics, by Wikipedia page. See glossary of graph theory for basic terminology Contents 1 Examples and types of graphs 2 Graph coloring 3 Paths and cycles 4 …   Wikipedia

  • MAPS OF EREẒ ISRAEL — Graphic descriptions of Ereẓ Israel relating to its topography and history and based on factual data, are not only extremely valuable sources for the reconstruction of the physiographic and anthropogenic conditions prevailing there at the time… …   Encyclopedia of Judaism

  • Cubic graph — Not to be confused with graphs of cubic functions. The Petersen graph is a Cubic graph …   Wikipedia

  • Art gallery problem — The art gallery problem or museum problem is a well studied visibility problem in computational geometry. It originates from a real world problem of guarding an art gallery with the minimum number of guards which together can observe the whole… …   Wikipedia

  • Mathematics of Sudoku — The class of Sudoku puzzles consists of a partially completed row column grid of cells partitioned into N regions each of size N cells, to be filled in using a prescribed set of N distinct symbols (typically the numbers {1, ..., N}), so that each …   Wikipedia

  • Algorithmics of sudoku — The class of Sudoku puzzles consists of a partially completed row column grid of cells partitioned into N regions or zones each of size N cells, to be filled in using a prescribed set of N distinct symbols (typically the numbers {1, ..., N }), so …   Wikipedia

  • Color analysis (art) — Color analysis, also called skin tone color matching or color seasons, is the process of finding colors of clothing and makeup to match a person s complexion, eye color, and hair color. It is often used as an aid to wardrobe planning and style… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”