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Characterise word-representable near-triangulations containing the complete graph K 4 (such a characterisation is known for K 4-free planar graphs [17]). Classify graphs with representation number 3. (See [30] for the state-of-the-art in this direction.) Is the line graph of a non-word-representable graph always non-word-representable?
See Families of sets for related families of non-graph combinatorial objects, graphs for individual graphs and graph families parametrized by a small number of numeric parameters, and graph theory for more general information about graph theory. See also Category:Graph operations for graphs distinguished for the specific way of their construction
In the mathematical field of graph theory, the Grötzsch graph is a triangle-free graph with 11 vertices, 20 edges, chromatic number 4, and crossing number 5. It is named after German mathematician Herbert Grötzsch , who used it as an example in connection with his 1959 theorem that planar triangle-free graphs are 3-colorable.
Charts based on a specific race or ethnicity are not useful because of the growth chart progression can be attributed to socioeconomic factors. [14] WHO launched a revised growth in 2006 chart using children from Ghana, Oman, Norway, Brazil, India and the USA that substantiated the fact that growth is highly dependent on environmental factors.
The first has been used in hand-drawn (pre-computer era) graphs to depict distributions going back to 1884. [1] The other version is described by William S. Cleveland as an alternative to the bar chart, in which dots are used to depict the quantitative values (e.g. counts) associated with categorical variables.
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[4] [5] Mosaic plots are also called Marimekko or Mekko charts because they resemble some Marimekko prints. [ 6 ] [ 7 ] However, in statistical applications, mosaic plots can be colored and shaded according to deviations from independence, whereas Marimekko charts are colored according to the category levels, as in the image.
The problem of graph exploration can be seen as a variant of graph traversal. It is an online problem, meaning that the information about the graph is only revealed during the runtime of the algorithm. A common model is as follows: given a connected graph G = (V, E) with non-negative edge weights. The algorithm starts at some vertex, and knows ...
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