In this paper, we present a simple charactrization of strongly chordal graphs. A chordal graph is strongly chordal if and only if every cycle on six or more vertices has an induced triangle with exactly two edges of the triangle as the chords of the cycle. (~
A good characterization of squares of strongly chordal split graphs
β Scribed by Van Bang Le; Ngoc Tuy Nguyen
- Book ID
- 108154732
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 141 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0020-0190
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π SIMILAR VOLUMES
We introduce the closed-neighborhood intersection multigraph as a useful multigraph version of the square of a graph. We characterize those multigraphs which are squares of chordal graphs and include an algorithm to go from the squared chordal graph back to its (unique!) square root. This becomes pa
## 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