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An Efficient Algorithm to Compute Dot Product Dimension of Some Outerplanar Graphs.
- Source :
-
International Journal of Foundations of Computer Science . Jul2024, p1-16. 16p. - Publication Year :
- 2024
-
Abstract
- A graph G = (V (G),E(G)) is called a k-dot product graph if there is a function f : V (G)→ℝk such that for any two distinct vertices u and v, f(u).f(v) ≥ 1 if and only if uv ∈ E(G). The minimum value k such that G is a k-dot product graph, is called the dot product dimension ρ(G) of G. In this paper, we give an efficient algorithm for computing the dot product dimension of outerplanar graphs of at most two edge-disjoint cycles. If the graph has two cycles, we only consider those outerplanar graphs if both cycles have exactly one vertex in common and the length of one of the cycles is greater than or equal to six. [ABSTRACT FROM AUTHOR]
- Subjects :
- *ALGORITHMS
Subjects
Details
- Language :
- English
- ISSN :
- 01290541
- Database :
- Academic Search Index
- Journal :
- International Journal of Foundations of Computer Science
- Publication Type :
- Academic Journal
- Accession number :
- 178429305
- Full Text :
- https://doi.org/10.1142/s0129054124500151