1997
DOI: 10.1007/3-540-63938-1_60
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An algorithm for labeling edges of hierarchical drawings

Abstract: Abstract. Let G(V, E) be a graph, and let/7 be the drawing of G on the plane. We consider the problem of assigning text labels to every edge of G such that the quality of the label assignment is optimal. This problem has been first encountered in automated cartography. Even though much effort has been devoted over the last 15 years in the area of automated drawing of maps, the Edge Label Placement (ELP) problem remains essentially unsolved. In this paper we investigate the ELP problem. We present an algorithm … Show more

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Cited by 31 publications
(32 citation statements)
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“…1. If the minimum weight incident edge of a node in V o connects this node to a node in V g of degree 1 then: Theorem 2 [15]. The matching produced by Algorithm Fast Matching is a maximum cardinality matching.…”
Section: Algorithm Fast Matchingmentioning
confidence: 99%
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“…1. If the minimum weight incident edge of a node in V o connects this node to a node in V g of degree 1 then: Theorem 2 [15]. The matching produced by Algorithm Fast Matching is a maximum cardinality matching.…”
Section: Algorithm Fast Matchingmentioning
confidence: 99%
“…The problem of assigning labels to a set of points or nodes, called Node Label Placement (NLP), has been studied widely [3]. However the problem of assigning labels to a set of lines or edges, known as Edge Label Placement (ELP) has not been as well studied until recently [16,15,24,27]. Both the NLP [9,19,22] and ELP [16] problems are known to be NP-Hard.…”
Section: Automatic Label Placementmentioning
confidence: 99%
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