Results 21 to 30 of about 218,626 (238)
Finding $k$ Simple Shortest Paths and Cycles [PDF]
The problem of finding multiple simple shortest paths in a weighted directed graph $G=(V,E)$ has many applications, and is considerably more difficult than the corresponding problem when cycles are allowed in the paths. Even for a single source-sink pair,
Agarwal, Udit, Ramachandran, Vijaya
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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
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Rerouting shortest paths in planar graphs [PDF]
A rerouting sequence is a sequence of shortest st-paths such that consecutive paths differ in one vertex. We study the the Shortest Path Rerouting Problem, which asks, given two shortest st-paths P and Q in a graph G, whether a rerouting sequence exists ...
Bonsma, Paul
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Andreas Darmann +2 more
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Shortest shortest path trees of a network
If \(N\) is an undirected network where each edge has positive length, we may consider the distances of vertices from a specified internal point of an edge. A shortest path tree (SPT) rooted at \(s\) (possibly an internal point of an edge) is a spanning tree \(T\) of the network \(N[s]\) (i.e., \(N\) with \(s\) as possibly a new vertex) where for each ...
Pierre Hansen, Maolin Zheng
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Shortest Paths in HSI Space for Color Texture Classification [PDF]
Color texture representation is an important step in the task of texture classification. Shortest paths was used to extract color texture features from RGB and HSV color spaces.
A Drimbarean +22 more
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Parametric shortest-path algorithms via tropical geometry
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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On Universal Shortest Paths [PDF]
The universal combinatorial optimization problem (Univ-COP) generalizes classical and new objective functions for combinatorial problems given by a ground set, a set of feasible solutions and costs assigned to the elements in the ground set. The corresponding universal objective function is of the sum type and associates additional multiplicative ...
Lara Turner, Horst W. Hamacher
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Finding an induced path that is not a shortest path [PDF]
We give a polynomial-time algorithm that, with input a graph $G$ and two vertices $u,v$ of $G$, decides whether there is an induced $uv$-path that is longer than the shortest $uv$-path.
Eli Berger +2 more
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Approximate Euclidean shortest paths in polygonal domains [PDF]
Given a set $\mathcal{P}$ of $h$ pairwise disjoint simple polygonal obstacles in $\mathbb{R}^2$ defined with $n$ vertices, we compute a sketch $\Omega$ of $\mathcal{P}$ whose size is independent of $n$, depending only on $h$ and the input parameter ...
Inkulu, R, Kapoor, Sanjiv
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