Examples of using Line graphs in English and their translations into Russian
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The line graphs of bipartite graphs see Kőnig's theorem.
Use bar graphs to make at-a-glance comparisons; use line graphs to show changes over time.
The rook's graphs( line graphs of complete bipartite graphs) are a special case.
One can also connect Kőnig's Line Coloring Theorem to a different class of perfect graphs, the line graphs of bipartite graphs. .
Simple line graphs are one of the most common types of visualization and the most commonly used.
A global characterization of Krausz type for the line graphs of k-uniform hypergraphs for any k≥ 3 was given by Berge 1989.
Line graphs may be characterized in terms of nine forbidden subgraphs; the claw is the simplest of these nine graphs. .
Typically, methods of visualization of network data include simple line graphs and charts, that show changes in network traffic parameters.
Questions about line graphs of hypergraphs are often generalizations of questions about line graphs of graphs. .
The five basic classes of perfect graphs that form the base case of this structural decomposition are the bipartite graphs, line graphs of bipartite graphs, complementary graphs of bipartite graphs, complements of line graphs of bipartite graphs, and double split graphs. .
Simple line graphs and charts are very effective for the display of the majority network metrics as it is easy to understand and interpret.
It is also NP-hard to find an optimal coloring of the graph, because(via line graphs) this problem generalizes the NP-hard problem of computing the chromatic index of a graph. .
Since line graphs of bipartite graphs are perfect, the complements of line graphs of bipartite graphs are also perfect.
Treewidth and clique-width are also connected through the theory of line graphs: a family of graphs has bounded treewidth if and only if their line graphs have bounded clique-width.
Line graphs with time axis, which make transparent the temporal relations between parameter input, sensor data and actuator data.
Any family of graphs has bounded pathwidth if and only if its line graphs have bounded linear clique-width, where linear clique-width replaces the disjoint union operation from clique-width with the operation of adjoining a single new vertex.
The line graphs of bipartite graphs form one of the key building blocks of perfect graphs, used in the proof of the strong perfect graph theorem.
For the analysis of network, simple line graphs provide an intuitive image, and depending on the nature of displaying of graphic line, network administrator can easily conduct traffic analysis and take appropriate decisions.
The line graphs of trees are exactly the block graphs in which every cut vertex is incident to at most two blocks, or equivalently the claw-free block graphs. .
Line graphs of trees have been used to find graphs with a given number of edges and vertices in which the largest induced subgraph that is a tree is as small as possible.
The line graphs of bipartite graphs are perfect: in them, and in any of their induced subgraphs, the number of colors needed in any vertex coloring is the same as the number of vertices in the largest complete subgraph.
From simple line graphs to elegant 3D models, Mathematica's powerful graphics functions let you visualize mathematical functions and surfaces, scientific data, and specialized objects, all with automated aesthetics that make sure you get accurate and appropriate results.
Line graphs of bipartite graphs form an important family of perfect graphs: they are one of a small number of families used by Chudnovsky et al.(2006) to characterize the perfect graphs and to show that every graph with no odd hole and no odd antihole is perfect.
A real-time line graph displays CPU and RAM usage.
Do I need to draw you a line graph, Jonah?
Line graph for regulator optimization.
Dig file extension Digital Line Graph.
Therefore, by Beineke's characterization,this example cannot be a line graph.
For any graph G, its line graph L(G) is claw-free, and hence a minimum maximal independent set in L(G) is also a minimum dominating set in LG.
The line graph of a graph G is defined as the intersection graph of the edges of G, where we represent each edge as the set of its two endpoints.
