On the tree representation of chordal graphs
β Scribed by Yukio Shibata
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 344 KB
- Volume
- 12
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
The interval number of a (simple, undirected) graph G is the least positive integer t such that G is the intersection graph of sets, each of which is the union of t real intervals. A chordal (or triangulated) graph is one with no induced cycles on 4 or more vertices. If G is chordal and has maximum
## Abstract Suppose __G__ is a connected graph and __T__ a spanning tree of __G__. A vertex __v__ Ξ΅ __V__(__G__) is said to be a degreeβpreserving vertex if its degree in __T__ is the same as its degree in __G__. The degreeβpreserving spanning tree problem is to find a spanning tree __T__ of a conn
Let T(G) be the tree graph of a graph G with cycle rank r. Then K ( T ( G ) ) 3 m ( G ) -r, where K(T(G)) and m(G) denote the connectivity of T ( G ) and the length of a minimum cycle basis for G, respectively. Moreover, the lower bound of m ( G ) -r is best possible.
## Abstract The intersection dimension of a bipartite graph with respect to a type __L__ is the smallest number __t__ for which it is possible to assign sets __A__~__x__~β{1, β¦, __t__} of labels to vertices __x__ so that any two vertices __x__ and __y__ from different parts are adjacent if and only
## Abstract The oriented diameter of a bridgeless connected undirected (__bcu__) graph __G__ is the smallest diameter among all the diameters of strongly connected orientations of __G__. We study algorithmic aspects of determining the oriented diameter of a chordal graph. We (a) construct a linearβ