Results 31 to 40 of about 569,188 (376)
Study on single-valued neutrosophic graph with application in shortest path problem
Fuzzy set and neutrosophic set are two efficient tools to handle the uncertainties and vagueness of any real-world problems. Neutrosophic set is more useful than fuzzy set (intuitionistic fuzzy sets) to manage the uncertainties of a real-life problem ...
Ruxiang Liu
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A spectral approach to the shortest path problem [PDF]
Let $G=(V,E)$ be a simple, connected graph. One is often interested in a short path between two vertices $u,v$. We propose a spectral algorithm: construct the function $ϕ:V \rightarrow \mathbb{R}_{\geq 0}$ $$ ϕ= \arg\min_{f:V \rightarrow \mathbb{R} \atop f(u) = 0, f \not\equiv 0} \frac{\sum_{(w_1, w_2) \in E}{(f(w_1)-f(w_2))^2}}{\sum_{w \in V}{f(w)^2}}.
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Finding next-to-shortest paths in a graph [PDF]
We study the problem of finding the next-to-shortest paths in a graph. A next-to-shortest $(u,v)$-path is a shortest $(u,v)$-path amongst $(u,v)$-paths with length strictly greater than the length of the shortest $(u,v)$-path.
Bang-Jensen +5 more
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ON ASSOCIATIVE SHORTEST PATH PROBLEMS [PDF]
Summary: We consider a wide class of shortest path problems in acyclic digraphs. In the problems, the length of a path is defined by using an associative binary operation. We derive recursive equations in dynamic programming for the problems, which involve additive, multiplicative, multiplicative-additive, minimum and fractional shortest path problems.
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Expected Length of the Shortest Path of the Traveling Salesman Problem in 3D Space
Finding the shortest path of the traveling salesman problem (TSP) is a typical NP-hard problem and one of the basic optimization problems. TSP in three-dimensional space (3D-TSP) is an extension of TSP. It plays an important role in the fields of 3D path
Hongtai Yang +5 more
doaj +1 more source
Shortest Paths Avoiding Forbidden Subpaths [PDF]
In this paper we study a variant of the shortest path problem in graphs: given a weighted graph G and vertices s and t, and given a set X of forbidden paths in G, find a shortest s-t path P such that no path in X is a subpath of P.
Ahmed, Mustaq, Lubiw, Anna
core +6 more sources
A Multi Objective Programming Approach to Solve Integer Valued Neutrosophic Shortest Path Problems [PDF]
Neutrosophic (NS) set hypothesis gives another way to deal with the vulnerabilities of the shortest path problems (SPP). Several researchers have worked on fuzzy shortest path problem (FSPP) in a fuzzy graph with vulnerability data and completely ...
Ranjan Kumar +5 more
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Systematic Literature Review on Adjustable Robust Shortest Path Problem
In real-world optimization problems, effective path planning is important. The Shortest Path Problem (SPP) model is a classical operations research that can be applied to determine an efficient path from the starting point to the end point in a plan ...
Wida Nurul Fauziyah +2 more
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ANT COLONY OPTIMIZATION PARAMETER SELECTION FOR SHORTEST PATH PROBLEM [PDF]
The shortest path problem has been studied to be solved through diverse deterministic and also stochastic approaches such as Ant Colony Optimization. One of the most challenging issues with the implication of Ant Colony Optimization to solve the shortest
N. Zarrinpanjeh +5 more
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A machine learning approach for predicting human shortest path task performance
Finding a shortest path for a given pair of vertices in a graph drawing is one of the fundamental tasks for qualitative evaluation of graph drawings.
Shijun Cai +4 more
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