**Characterizations and Linear Time Recognition of Helly**

A circular-arc model [equation] is a circle C together with a collection [equation] of arcs of C. If [equation] satisfies the Helly Property then [equation]is a Helly circular-arc model. A (Helly)...... A graph G is a k-sphere graph if there are k-dimensional real vectors v1,..., vn such that ij âˆˆ E(G) if and only if the distance between vi and vj is at most 1. A graph G is a k-dot product

**Inductive computations on graphs defined by clique-width**

Implicit graph's wiki: In the study of graph algorithms, an implicit graph representation (or more simply implicit graph ) is a graph whose vertices or edges are not represented as explicit objects in a computer's memory, but rather are determined algorithmicall...... In this paper, a representation for chordal graphs called the compact representation, based on the running intersection property, is presented.

**Characterizations and recognition of circular-arc graphs**

An efficient coding for the tree representation is also presented; it requires bits for a distance-hereditary graph of vertices and bits for a cograph. The results of coding improve previously known upper bounds (both are ) of the number of distance-hereditary graphs and cographs to and , respectively.... full solution indexing and efficient compressed graph representation for web service composition jing li a thesis in the department of computer science and software

**Implicit graph Wiki Everipedia**

Read "An implicit representation of chordal comparability graphs in linear time, Discrete Applied Mathematics" on DeepDyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.... A graph G is a k-sphere graph if there are k-dimensional real vectors v1,..., vn such that ij âˆˆ E(G) if and only if the distance between vi and vj is at most 1. A graph G is a k-dot product

## Spinrad Efficient Graph Representations Pdf

### Efficient Graph Representations Request PDF

- On the OBDD representation of some graph classes Discrete
- Topological graphs dl.acm.org
- Chapter 59 Linear-Time Modular Decomposition and Efficient
- A New Approach to Graph Recognition and Applications to

## Spinrad Efficient Graph Representations Pdf

### M. Golumbic, Algorithmic graph theory and perfect graphs T. McKee and F.R. McMorris, Topics in intersection graph theory J. Spinrad, Efficient graph representations

- It was restated as conjecture by Spinrad in the book Efficient Graph Representations (2003). It is important because it would imply the existence of space-efficient representations for all small, hereditary graph classes where querying an edge requires only polylogarithmic time with respect to the number of vertices of the graph.
- 5/12/2018Â Â· 2003, Jeremy P. Spinrad, Efficient Graph Representations, American Mathematical Society, page 108, We first find an approximation of the chain partition, i.e. a small but not minimum size set of chains which cover all elements of the poset.
- Digraphs are abstract mathematical objects, BUT â€¢ ADT implementation requires specific representation. â€¢ Efficiency depends on matching algorithms to representations.
- (1995) Lexicographic orientation and representation algorithms for comparability graphs, proper circular arc graphs, and proper interval graphs. Journal of Graph Theory 20 :3, 361-374. (1995) Finding a maximum matching in a permutation graph.

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