Year: 2025
Type: article
Abstract: A G ‐design is called embedded into an H ‐design if G is a subgraph of H and there is an injective mapping such that B is a subgraph of f ( B ) for every . In this paper, we determine that the necessary conditions for embedding a Steiner triple system into a Kite‐design are v ≡ 1, 3(mod 6), v + w ≡ 0, 1(mod 8), w ≥ ( v − 1)/6, and . We show that the necessary conditions are sufficient for the second minimal | V ∪ W |. The results have potential applications in optimizing resource allocation for two‐period optical networks and improving grooming efficiency in wavelength‐division multiplexing (WDM) systems.
Source: Journal of Mathematics
DOI: 10.1155/jom/3621902
Author: Yufeng Gao
Institutions: Jilin University, Tonghua Normal University
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,160
Awards: G2981376653, G5681099328
OpenAlex ID: W4409561930