In graph theory, a circle graph is the intersection graph of a chord diagram. That is, it is an undirected graph whose vertices can be associated with...
15 KB (1,694 words) - 07:51, 18 July 2024
A circle packing is a connected collection of circles (in general, on any Riemann surface) whose interiors are disjoint. The intersection graph of a...
30 KB (3,861 words) - 22:35, 27 February 2025
planar graphs, the subgraphs of series–parallel graphs, and the circle graphs. The maximal outerplanar graphs, those to which no more edges can be added while...
19 KB (2,089 words) - 08:10, 14 January 2025
Appendix:Glossary of graph theory in Wiktionary, the free dictionary. This is a glossary of graph theory. Graph theory is the study of graphs, systems of nodes...
109 KB (16,011 words) - 18:32, 30 April 2025
comparability graphs known as cocomparability graphs. A unit disk graph is defined as the intersection graph of unit disks in the plane. A circle graph is the...
9 KB (1,144 words) - 23:24, 9 February 2024
In graph theory, a planar graph is a graph that can be embedded in the plane, i.e., it can be drawn on the plane in such a way that its edges intersect...
35 KB (4,541 words) - 18:29, 29 May 2025
graph theory, a polygon-circle graph is an intersection graph of a set of convex polygons all of whose vertices lie on a common circle. These graphs have...
6 KB (606 words) - 11:46, 12 August 2024
been used for fast recognition of circle graphs and distance-hereditary graphs, as well as for other problems in graph algorithms. Splits and split decompositions...
10 KB (1,328 words) - 00:18, 8 November 2023
Logic optimization (redirect from Händler's circle graph)
minimization methods for two-level logic include: Euler diagram (aka Eulerian circle) (1768) by Leonhard P. Euler (1707–1783) Venn diagram (1880) by John Venn...
16 KB (1,657 words) - 13:37, 23 April 2025
Bivariegated graph Cage (graph theory) Cayley graph Circle graph Clique graph Cograph Common graph Complement of a graph Complete graph Cubic graph Cycle graph De...
7 KB (663 words) - 02:52, 24 September 2024
(also called link or line). Typically, a graph is depicted in diagrammatic form as a set of dots or circles for the vertices, joined by lines or curves...
28 KB (3,671 words) - 04:30, 15 May 2025
a permutation graph is polynomial in the size of the graph. Permutation graphs are a special case of circle graphs, comparability graphs, the complements...
8 KB (938 words) - 07:10, 16 February 2023
represented by a circle with a label, and an edge is represented by a line or arrow extending from one vertex to another. From the point of view of graph theory...
6 KB (806 words) - 05:45, 12 April 2025
computer science, graph theory is the study of graphs, which are mathematical structures used to model pairwise relations between objects. A graph in this context...
50 KB (6,237 words) - 21:13, 9 May 2025
Graph drawing is an area of mathematics and computer science combining methods from geometric graph theory and information visualization to derive two-dimensional...
31 KB (3,275 words) - 10:55, 8 May 2025
Book embedding (category Topological graph theory)
In graph theory, a book embedding is a generalization of planar embedding of a graph to embeddings in a book, a collection of half-planes all having the...
68 KB (8,167 words) - 00:16, 5 October 2024
circles that lie inside a bigger circle and tangent to it Circle graph – Intersection graph of a chord diagram Circle map – Phenomenon in mathsPages displaying...
12 KB (2,413 words) - 20:44, 10 March 2025
These graphs do not fall into many known families of well-structured graphs: they might not be perfect graphs, circle graphs, or chordal graphs. An exception...
8 KB (937 words) - 21:43, 15 June 2025
In graph theory, a branch of discrete mathematics, a distance-hereditary graph (also called a completely separable graph) is a graph in which the distances...
19 KB (2,290 words) - 21:19, 17 October 2024
graph theory, a string graph is an intersection graph of curves in the plane; each curve is called a "string". Given a graph G, G is a string graph if...
13 KB (1,527 words) - 20:47, 9 June 2025
data, and in 1801 he published what were likely the first pie chart and circle graph, used to show part-whole relations. Playfair has been reported to have...
29 KB (3,369 words) - 16:46, 3 June 2025
Chord (geometry) (category Circles)
chords Holditch's theorem, for a chord rotating in a convex closed curve Circle graph Exsecant and excosecant Versine and haversine - ( crd θ = 2 haversin...
6 KB (740 words) - 00:27, 8 May 2025
studied over regular graphs or grids, and the vertex functions are typically assumed to be identical. Example: Let Y be the circle graph on vertices {1,2...
10 KB (1,387 words) - 02:38, 26 December 2024
Clique problem (category Computational problems in graph theory)
of graphs as well. For instance, in a circle graph, the neighborhood of each vertex is a permutation graph, so a maximum clique in a circle graph can...
84 KB (9,905 words) - 20:49, 29 May 2025
Chord diagram (mathematics) (category Matching (graph theory))
pattern of chords in a chord diagram may be described by a circle graph, the intersection graph of the chords: it has a vertex for each chord and an edge...
5 KB (537 words) - 00:03, 30 April 2024
are commonly used to show the weather, as well as maps, site plans, and graphs for summaries of data. Some books are almost entirely made up of information...
40 KB (4,817 words) - 03:25, 20 May 2025
mathematics, a biased graph is a graph with a list of distinguished circles (edge sets of simple cycles), such that if two circles in the list are contained...
10 KB (1,541 words) - 01:20, 11 January 2025
bridgeless graph has a cycle-continuous mapping to the Petersen graph. More unsolved problems in mathematics In the mathematical field of graph theory, the...
24 KB (2,993 words) - 04:57, 12 April 2025
important in graph theory, since they generalise several important classes of graphs, e.g. circle graphs, 3-colorable graphs and comparability graphs. It was...
30 KB (3,653 words) - 21:01, 17 June 2025
Circular layout (category Circles)
In graph drawing, a circular layout is a style of drawing that places the vertices of a graph on a circle, often evenly spaced so that they form the vertices...
17 KB (1,818 words) - 02:14, 5 November 2023