Results 21 to 30 of about 383,776 (277)
Finding next-to-shortest paths in a graph [PDF]
, 2004 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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Shortest‐path network interdiction
Networks, 2002 AbstractWe study the problem of interdicting the arcs in a network in order to maximize the shortest s–t path length. “Interdiction” is an attack on an arc that destroys the arc or increases its effective length; there is a limited interdiction budget.
Israeli, E., Wood, R.K.
openaire +3 more sources
Random assignment and shortest path problems [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 We explore a similarity between the $n$ by $n$ random assignment problem and the random shortest path problem on the complete graph on $n+1$ vertices. This similarity is a consequence of the proof of the Parisi formula for the assignment problem given by
Johan Wästlund
doaj +1 more source
Near-shortest and K-shortest simple paths
Networks, 2005 Summary: We present a new algorithm for enumerating all near-shortest simple (loopless) \(s\)-\(t\) paths in a graph \(G=(V,E)\) with nonnegative edge lengths. Letting \(n=|V|\) and \(m=|E|\), the time per path enumerated is \(O(nS(n,m))\) given a user-selected short-est-path subroutine with complexity \(O(S(n,m))\).
Carlyle, W. Matthew, Wood, R .Kevin
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Shortest path poset of Bruhat intervals [PDF]
Discrete Mathematics & Theoretical Computer Science, 2011 Let $[u,v]$ be a Bruhat interval and $B(u,v)$ be its corresponding Bruhat graph. The combinatorial and topological structure of the longest $u-v$ paths of $B(u,v)$ has been extensively studied and is well-known.
Saúl A. Blanco
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Percolating paths through random points : [PDF]
, 2005 We prove consistency of four different approaches to formalizing the idea of minimum average edge-length in a path linking some infinite subset of points of a Poisson process.
Aldous, David, Krikun, Maxim
core +4 more sources
Engineering Science and Technology, an International Journal, 2021 Most of the previous studies on mobile robot path planning consider the obstacles as polygons. However, the complex shaped obstacles should be considered as curves rather than polygons, since the latter may result in non-optimal paths.
Neeta A. Eapen
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A Novel Method for Solving Multi-objective Shortest Path Problem in Respect of Probability Theory
Tehnički Glasnik, 2023 Transportation process or activity can be considered as a multi-objective problem reasonably. However, it is difficult to obtain an absolute shortest path with optimizing the multiple objectives at the same time by means of Pareto approach. In this paper,
Maosheng Zheng, Jie Yu
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Shortest path discovery of complex networks [PDF]
, 2008 In this paper we present an analytic study of sampled networks in the case of some important shortest-path sampling models. We present analytic formulas for the probability of edge discovery in the case of an evolving and a static network model.
A. Lakhina +4 more
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Parametric shortest-path algorithms via tropical geometry
, 2021 We study parameterized versions of classical algorithms for computing shortest-path trees. This is most easily expressed in terms of tropical geometry.
Joswig, Michael, Schröter, Benjamin
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