Representations of chordal graphs as subtrees of a tree
β Scribed by James R. Walter
- Publisher
- John Wiley and Sons
- Year
- 1978
- Tongue
- English
- Weight
- 140 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
In a 3-connected planar triangulation, every circuit of length 2 4 divides the rest of the edges into two nontrivial parts (inside and outside) which are "separated" by the circuit. Neil Robertson asked to what extent triangulations are characterized by this property, and conjectured an answer. In t
A method to determine the least central subtree of a tree is given. The structure of the trees having a single point as a least central subtree is described, and the relation of a least central subtree of a tree to the centroid as well as to the center of that tree is given.
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 = (V, E)__ is a graph in which every vertex __x__ has a nonβnegative real number __w(x)__ as its weight. The __w__βdistance sum of a vertex __y__ is __D~G, w~(y)__ = Ο~xβ v~ __d(y, x)w(x).__ The __w__βmedian of __G__ is the set of all vertices __y__ with minimum __w__βdistanc