| چکیده انگلیسی مقاله |
Road network connectivity significantly influences the total cost of transportation in recreation services. With recent advancements in mathematical sciences and computer technology, structural analysis using graph theory has become practical. The application of graph theory offers several benefits, including the evaluation of connectivity levels, network transportation speed, accessibility, identification of critical junctions, and detection of traffic-reducing cycles that enhance safe and convenient travel for tourists. In this paper, the existing road networks of eight recreational forest parks (Mirza Kouchak Khan, Zare, Talar, Endargeli, Javarem, Izadshahr, Haloomsar and Abbasabad) in Mazandaran Province were analyzed using graph theory. Moreover, new roads were proposed to enhance network connectivity for recreational services. Root nodes, articulation nodes, links and sub-graphs were considered as graph components, while network density, road spacing, alpha index ( ), beta index ( ), P index ( ), eta index ( ), number of cycles (u), gamma index ( ) and detour index (DI) were considered as topological and geometric measures. New road segments were proposed based on topologic standards to improve the efficiency of road networks with weak connectivity. The proposed approach was applied to eight test networks in the central highland of the Hyrcanian forests, northern Iran. The results showed that the means of the articulation nodes, total nodes, links, sub-graphs, α, β, π, η, u and ɣ in the forest land use with recreation services were 0.5, 7.25, 7.25, 1.12, 0.07, 0.95, 2.00, 1.13, 1.12 and 0.46, respectively. As a result of supplementary roads, road density increased by 15.60%, 20.30%, 37.20%, 34.3%, 8.60% in Endargeli, Javarem, Izadshahr, Haloomsar and Abbasabad, respectively. Additionally, the α index improved from 0 to 0.12, 0.2, 0.17, 0.14 and 0.33 in these study locations. Structural properties of road networks with weak connectivity were improved to the standard range by the addition of supplementary roads. The findings of the present study showed that completing the networks by introducing cycles can enhance other graph theory indicators and improve overall connectivity. |