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interval graph

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  • Interval graph — In graph theory, an interval graph is the intersection graph of a set of intervals on the real line. It has one vertex for each interval in the set, and an edge between every pair of vertices corresponding to intervals that intersect.Formally,… …   Wikipedia

  • 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

  • Interval (mathematics) — This article is about intervals of real numbers. For intervals in general mathematics, see Partially ordered set. For other uses, see Interval. In mathematics, a (real) interval is a set of real numbers with the property that any number that lies …   Wikipedia

  • Interval order — In mathematics, especially order theory,the interval order for a collection of intervals on the real lineis the partial order corresponding to their left to right precedence relation.More formally, a poset P = (X, leq) is an interval order if and …   Wikipedia

  • Interval chromatic number of an ordered graph — In mathematics, the interval chromatic number X …   Wikipedia

  • Claw-free graph — A claw In graph theory, an area of mathematics, a claw free graph is a graph that does not have a claw as an induced subgraph. A claw is another name for the complete bipartite graph K1,3 (that is, a star graph with three edges, three leaves, and …   Wikipedia

  • Comparability graph — In graph theory, a comparability graph is an undirected graph that connects pairs of elements that are comparable to each other in a partial order. Comparability graphs have also been called transitively orientable graphs, partially orderable… …   Wikipedia

  • Circular-arc graph — A circular arc graph (left) and a corresponding arc model (right). In graph theory, a circular arc graph is the intersection graph of a set of arcs on the circle. It has one vertex for each arc in the set, and an edge between every pair of… …   Wikipedia

  • Split graph — In graph theory, a split graph is a graph in which the vertices can be partitioned into a clique and an independent set. Split graphs were first studied by Földes and Hammer in two papers in 1977, and independently introduced by Tyshkevich and… …   Wikipedia

  • Quasi-threshold graph — In graph theoretic mathematics, a quasi threshold graph is a graph that can be constructed using the following rules: # K 1 is a quasi threshold graph #If G is a quasi threshold graph, then so is the graph obtained by adding a new vertex… …   Wikipedia

  • Chordal graph — A cycle (black) with two chords (green). As for this part, the graph is chordal. However, removing one green edge would result in a non chordal graph. Indeed, the other green edge with three black edges would form a cycle of length four with no… …   Wikipedia

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