
handle: 11590/169882 , 11590/116096
Summary: We study a new standard for visualizing graphs: A monotone drawing is a straight-line drawing such that, for every pair of vertices, there exists a path that monotonically increases with respect to some direction. We show algorithms for constructing monotone planar drawings of trees and biconnected planar graphs, we study the interplay between monotonicity, planarity, and convexity, and we outline a number of open problems and future research directions.
Graph theory (including graph drawing) in computer science, Graph representations (geometric and intersection representations, etc.), graph visualization, Planar graphs; geometric and topological aspects of graph theory
Graph theory (including graph drawing) in computer science, Graph representations (geometric and intersection representations, etc.), graph visualization, Planar graphs; geometric and topological aspects of graph theory
| selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | 27 | |
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| influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically). | Top 10% | |
| impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network. | Top 10% |
