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GROG

https://doi.org/10.1007/978-3-030-75239-2f a hypergraph ., each vertex . is associated with a point . and each hyperedge . is associated with a connected set . such that . for all .. We say that a given hypergraph . is . by some (infinite) family . of sets in ., if there exist . and . such that (.,?.) is a geometric representation of?.. Fo

Eosinophils

https://doi.org/10.1007/978-3-319-78117-4ertices have perfect angular resolution, i.e., all angles incident to a vertex?. have size?.. We prove that it is .-complete to determine whether a given graph admits a Lombardi drawing respecting a fixed cyclic ordering of the incident edges around each vertex. In particular, this implies .-hardnes

Ingest

https://doi.org/10.1007/978-3-030-97359-9ecifically, we extend upward drawings of unordered rooted trees where vertices have assigned heights by mapping each vertex to a column. Under an orthogonal drawing style and with every subtree within a column drawn planar, we consider different natural variants concerning the arrangement of subtree

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胰臟

String Graphs with?Precise Number of?Intersections intersects in at most . points. We introduce the class of .-string graphs as a further restriction of .-string graphs by requiring that every two curves intersect in either zero or precisely . points. We study the hierarchy of these graphs, showing that for any ., .-string graphs are a subclass of