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Kanak Sirari,Lokender Kashyap,C. M. Mehtaused in solving several planar graph drawing problems, including ., and . problems. A regular edge labeling of a plane graph . labels the edges of . so that the edge labels around any vertex show certain regular pattern. The drawing of . is obtained by using the combinatorial structures resulting fr最有利 发表于 2025-3-25 23:49:18
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Johannes Gescher,Andreas Kapplerrizontal and vertical visibility. It is shown that, for .. has a representation with no rectangles having collinear sides if and only if .≤3 or .=3 and .≤4. More generally, it is shown that .. is a rectangle-visibility graph if and only if .≤4. Finally, it is shown that every bipartite rectangle-vishomeostasis 发表于 2025-3-26 13:42:15
Microbial Metatranscriptomics Belowgrounde. Two points . and . are visible if the straight-line segment . is not obstructed by any object. Two objects . ∈ . are called visible if there exist points . ∈ . ∈ . such that . is visible from .. We consider visibility only for a finite set of directions. In such a representation, the given graphNonporous 发表于 2025-3-26 18:22:27
https://doi.org/10.1007/978-981-16-1923-6ensional visibility representation that has been studied is one in which each vertex of the graph maps to a closed rectangle in ℝ. and edges are expressed by vertical visibility between rectangles. The rectangles representing vertices are disjoint, contained in planes perpendicular to the .-axis, an