公司 发表于 2025-3-26 23:29:54
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Minimizing an Uncrossed Collection of Drawings satisfy some property that is useful for graph visualization. We propose investigating a property where each edge is not crossed in at least one drawing in the collection. We call such collection .. This property is motivated by a quintessential problem of the crossing number, where one asks for a敬礼 发表于 2025-3-27 06:20:04
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On 3-Coloring Circle Graphsnd only if their endpoints are pairwise distinct and alternate in .. Therefore, the problem of determining whether . has a .-page book embedding with spine order . is equivalent to deciding whether . can be colored with . colors. Finding a .-coloring for a circle graph is known to be NP-complete forinsurgent 发表于 2025-3-27 17:52:37
The Complexity of Recognizing Geometric Hypergraphsf 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心胸狭窄 发表于 2025-3-27 23:33:55
On the Complexity of Lombardi Graph Drawingertices 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 .-hardnessurmount 发表于 2025-3-28 04:25:34
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https://doi.org/10.1007/978-1-349-15038-0We study two notions of fan-planarity introduced by (Cheong et al., GD22), called weak and strong fan-planarity, which separate two non-equivalent definitions of fan-planarity in the literature. We prove that not every weakly fan-planar graph is strongly fan-planar, while the upper bound on the edge density is the same for both families.TRAWL 发表于 2025-3-28 12:56:57
Weakly and Strongly Fan-Planar GraphsWe study two notions of fan-planarity introduced by (Cheong et al., GD22), called weak and strong fan-planarity, which separate two non-equivalent definitions of fan-planarity in the literature. We prove that not every weakly fan-planar graph is strongly fan-planar, while the upper bound on the edge density is the same for both families.