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Published in 2017 at "Journal of Mathematical Imaging and Vision"
DOI: 10.1007/s10851-017-0778-5
Abstract: We introduce numerical schemes for computing distances and shortest paths with respect to several planar paths models, featuring curvature penalization and data-driven velocity: the Dubins car, the Euler/Mumford elastica, and a two variants of the…
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Keywords:
fast marching;
marching methods;
curvature penalized;
methods curvature ... See more keywords
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Published in 2017 at "Scientific Reports"
DOI: 10.1038/s41598-017-01655-x
Abstract: The shortest path problem is one of the most fundamental networks optimization problems. Nowadays, individuals interact in extraordinarily numerous ways through their offline and online life (e.g., co-authorship, co-workership, or retweet relation in Twitter). These…
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Keywords:
shortest paths;
paths multiplex;
multiplex networks;
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Published in 2019 at "Numerical Functional Analysis and Optimization"
DOI: 10.1080/01630563.2019.1566927
Abstract: Abstract We present an efficient algorithm for finding the shortest path joining two points in a sequence of triangles in three-dimensional space using the concept of funnels associated with common edges along the sequence of…
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Keywords:
finding shortest;
triangles planar;
sequence triangles;
shortest paths ... See more keywords
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Published in 2021 at "Bioinformatics"
DOI: 10.1093/bioinformatics/btaa1103
Abstract: MOTIVATION A rigorous yet general mathematical approach to mutagenesis, especially one capable of delivering systems-level perspectives would be invaluable. Such systems-level understanding of phage resistance is also highly desirable for phage-bacteria interactions and phage therapy…
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Keywords:
network;
phage;
approach mutagenesis;
shortest paths ... See more keywords
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Published in 2019 at "IEEE Access"
DOI: 10.1109/access.2019.2915974
Abstract: Betweenness centrality measures the centrality of nodes and edges in a graph based on the concept of shortest paths. However, such a definition is unsuitable for uncertain graphs due to the uncertainty of links. In…
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Keywords:
uncertain graphs;
centrality;
centrality uncertain;
shortest paths ... See more keywords
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Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3101176
Abstract: Considerable effort has been devoted to the study of network structures and connectivity patterns and their influence on network dynamics. A widely used assumption in network analysis models is that traffic follows the shortest paths…
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Keywords:
complex networks;
paths complex;
shortest paths;
utilization shortest ... See more keywords
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Published in 2021 at "IEEE Access"
DOI: 10.1109/access.2021.3131635
Abstract: A new pair routing algorithm for transmitting messages in multiprocessor systems and networks-on-chip based on circulant networks of arbitrary dimension is proposed. It allows using all reserve shortest paths in the presence of destructive factors…
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Keywords:
shortest paths;
networks chip;
based circulant;
topology ... See more keywords
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Published in 2018 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2017.7510880
Abstract: The complex relationship between structural connectivity ( SC ) and functional connectivity ( FC ) of human brain networks is still a critical problem in neuroscience. In order to investigate the role of SC in…
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Keywords:
network;
structural connectivity;
model;
dynamic model ... See more keywords
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Published in 2018 at "IEEE Transactions on Knowledge and Data Engineering"
DOI: 10.1109/tkde.2017.2773492
Abstract: The classical K Shortest Paths (KSP) problem, which identifies the $k$ shortest paths in a directed graph, plays an important role in many application domains, such as providing alternative paths for vehicle routing services. However,…
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Keywords:
alternatives inline;
tex math;
shortest paths;
problem ... See more keywords
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Published in 2022 at "IEEE Transactions on Network Science and Engineering"
DOI: 10.1109/tnse.2022.3169691
Abstract: Intensive research efforts have been devoted to the study of multiple disjoint shortest paths (MDSP) in complex networks. Most existing studies on this subject, unfortunately, either require global topology information about the network to find…
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Keywords:
topology;
multiple disjoint;
shortest paths;
geometry ... See more keywords
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Published in 2020 at "Miskolc Mathematical Notes"
DOI: 10.18514/mmn.2020.2790
Abstract: In this paper we are addressing a counting problem of discrete mathematics, more precisely of digital geometry. In the Euclidean plane the shortest path between any two points is given by the straight line segment…
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Keywords:
mathematics;
square grid;
geometry;
shortest paths ... See more keywords