2014
DOI: 10.14778/2732939.2732945
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Path problems in temporal graphs

Abstract: Shortest path is a fundamental graph problem with numerous applications. However, the concept of classic shortest path is insufficient or even flawed in a temporal graph, as the temporal information determines the order of activities along any path. In this paper, we show the shortcomings of classic shortest path in a temporal graph, and study various concepts of "shortest" path for temporal graphs. Computing these temporal paths is challenging as subpaths of a "shortest" path may not be "shortest" in a tempor… Show more

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Cited by 217 publications
(178 citation statements)
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“…Among them, the states of the art include the Connection Scan Algorithm (CSA) [16,38], the Contraction Hierarchies for Timetables (CHT) [21], and T.Patterns [5]. In particular, CSA represents the timetable graph G as two sequences of edges, such that the first (resp.…”
Section: Related Workmentioning
confidence: 99%
“…Among them, the states of the art include the Connection Scan Algorithm (CSA) [16,38], the Contraction Hierarchies for Timetables (CHT) [21], and T.Patterns [5]. In particular, CSA represents the timetable graph G as two sequences of edges, such that the first (resp.…”
Section: Related Workmentioning
confidence: 99%
“…We introduce the terminology and symbols to describe temporal network structure, which basically follow those used in reference [35].…”
Section: Basic Notionsmentioning
confidence: 99%
“…Our first set of experiment ensures that the durations in the edges are non-zero in the given temporal graphs. As in [27], the durations are set to 1. The results are shown in Table 2.…”
Section: Efficiency Of the Algorithms For Mst Amentioning
confidence: 99%
“…The first linear time algorithms for computing different kinds of paths in temporal graphs are proposed in [16]. The idea of time ordered edges in [16] is adopted in [27] for a different input format. Note that the algorithm for earliest-arrival paths in [27] has a similar problem as Algorithm 1 with zero durations, and our technique in Algorithm 2 can provide a solution.…”
Section: Related Workmentioning
confidence: 99%
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