作者: 改正 時(shí)間: 2025-3-21 22:37 作者: Climate 時(shí)間: 2025-3-22 04:21 作者: Brochure 時(shí)間: 2025-3-22 05:19
https://doi.org/10.1007/978-1-349-19553-4e outer face and each edge has at most one crossing. We present a linear time algorithm to test whether a graph is outer-1-planar. The algorithm can be used to produce an outer-1-planar embedding in linear time if it exists.作者: URN 時(shí)間: 2025-3-22 11:30 作者: comely 時(shí)間: 2025-3-22 13:26
https://doi.org/10.1007/978-1-4020-2651-5ar resolution for 3D arc diagrams, even for cases when the arcs must project to a given 2D straight-line drawing of the input graph. Our methods make use of various graph coloring algorithms, including an algorithm for a new coloring problem, which we call ..作者: comely 時(shí)間: 2025-3-22 19:41
A Linear-Time Algorithm for Testing Outer-1-Planaritye outer face and each edge has at most one crossing. We present a linear time algorithm to test whether a graph is outer-1-planar. The algorithm can be used to produce an outer-1-planar embedding in linear time if it exists.作者: Permanent 時(shí)間: 2025-3-22 21:53 作者: 解開 時(shí)間: 2025-3-23 04:56 作者: antidote 時(shí)間: 2025-3-23 09:15 作者: 針葉 時(shí)間: 2025-3-23 13:35
Upward Planarity Testing: A Computational Studyictly monotonously increasing .-coordinates. Testing whether a graph allows such a drawing is known to be NP-complete, but there is a substantial collection of different algorithmic approaches known in literature..In this paper, we give an overview of the known algorithms, ranging from combinatorial作者: 最初 時(shí)間: 2025-3-23 16:08 作者: Insubordinate 時(shí)間: 2025-3-23 21:02 作者: Inflamed 時(shí)間: 2025-3-23 23:07
Morphing Planar Graph Drawings Efficientlyarity is preserved at all times. Each step of the morph moves each vertex at constant speed along a straight line. Although the existence of a morph between any two drawings was established several decades ago, only recently it has been proved that a polynomial number of steps suffices to morph any 作者: 滔滔不絕地講 時(shí)間: 2025-3-24 02:43 作者: Parley 時(shí)間: 2025-3-24 09:57
A Linear-Time Algorithm for Testing Outer-1-Planaritye outer face and each edge has at most one crossing. We present a linear time algorithm to test whether a graph is outer-1-planar. The algorithm can be used to produce an outer-1-planar embedding in linear time if it exists.作者: 流出 時(shí)間: 2025-3-24 10:51
Straight-Line Grid Drawings of 3-Connected 1-Planar Graphse drawings. We show that every 3-connected 1-planar graph has a straight-line drawing on an integer grid of quadratic size, with the exception of a single edge on the outer face that has one bend. The drawing can be computed in linear time from any given 1-planar embedding of the graph.作者: Constitution 時(shí)間: 2025-3-24 18:14
New Bounds on the Maximum Number of Edges in ,-Quasi-Planar Graphss in a .-quasi-planar graph on . vertices is .(.). Fox and Pach showed that every .-quasi-planar graph with . vertices and no pair of edges intersecting in more than .(1) points has at most .(log.). edges. We improve this upper bound to ., where .(.) denotes the inverse Ackermann function, and . dep作者: 統(tǒng)治人類 時(shí)間: 2025-3-24 22:06 作者: Coordinate 時(shí)間: 2025-3-25 01:19 作者: 我吃花盤旋 時(shí)間: 2025-3-25 07:07 作者: 有雜色 時(shí)間: 2025-3-25 07:57 作者: 空洞 時(shí)間: 2025-3-25 14:17
Strongly-Connected Outerplanar Graphs with Proper Touching Triangle Representations they share a partial side of positive length. Each triangle in . represents a vertex, while each pair of adjacent triangles represents an edge in the planar graph. We consider the problem of determining when a proper touching triangle representation exists for a ., which is biconnected and after th作者: 護(hù)身符 時(shí)間: 2025-3-25 17:39 作者: 貪婪的人 時(shí)間: 2025-3-25 23:37
A Duality Transform for Constructing Small Grid Embeddings of 3D Polytopesrid embeddings with small coordinates and develop novel techniques based on Colin de Verdière matrices and the Maxwell–Cremona lifting method..As our main result we show that every truncated 3d polytope with . vertices can be realized on a grid of size polynomial in .. Moreover, for a class . of sim作者: 谷物 時(shí)間: 2025-3-26 02:02 作者: calorie 時(shí)間: 2025-3-26 08:19 作者: 火海 時(shí)間: 2025-3-26 09:14 作者: bisphosphonate 時(shí)間: 2025-3-26 15:53 作者: 巨大沒(méi)有 時(shí)間: 2025-3-26 20:22
Yoshihiko Otani,Mohamed El-Hodirihe edges are stored and organized in .. At each vertex, all edges to predecessors in the linear layout are removed and all edges to successors are inserted. There are intriguing relationships between well-known data structures and classes of planar graphs: The stack graphs are the outerplanar graphs作者: Nefarious 時(shí)間: 2025-3-27 00:17
Michael R. Hammock,J. Wilson Mixonanar drawing of . exists such that each edge is monotone in the .-direction and, for any .,.?∈?. with .(.)?
作者: 歌曲 時(shí)間: 2025-3-27 02:20
Microeconomic Theory for the Social Sciencesarity is preserved at all times. Each step of the morph moves each vertex at constant speed along a straight line. Although the existence of a morph between any two drawings was established several decades ago, only recently it has been proved that a polynomial number of steps suffices to morph any 作者: 嚴(yán)厲批評(píng) 時(shí)間: 2025-3-27 08:28 作者: 傳授知識(shí) 時(shí)間: 2025-3-27 12:50 作者: synovial-joint 時(shí)間: 2025-3-27 16:36 作者: appall 時(shí)間: 2025-3-27 17:49
https://doi.org/10.1007/978-3-319-47587-5s in a .-quasi-planar graph on . vertices is .(.). Fox and Pach showed that every .-quasi-planar graph with . vertices and no pair of edges intersecting in more than .(1) points has at most .(log.). edges. We improve this upper bound to ., where .(.) denotes the inverse Ackermann function, and . dep作者: adhesive 時(shí)間: 2025-3-28 00:23
Alexander E. Popugaev,Rainer Wanschaphs generalize outerplanar graphs, which can be recognized in linear time and specialize 1-planar graphs, whose recognition is .-hard..Our main result is a linear-time algorithm that first tests whether a graph?. is ., and then computes an embedding. Moreover, the algorithm can augment . to a maxim作者: Confound 時(shí)間: 2025-3-28 05:11 作者: 愚笨 時(shí)間: 2025-3-28 10:02
Timing Methods and Programmable Timers,ntation extension problem for circle graphs, where the input consists of a graph . and a partial representation . giving some pre-drawn chords that represent an induced subgraph of .. The question is whether one can extend . to a representation . of the entire ., i.e., whether one can draw the remai作者: Neutropenia 時(shí)間: 2025-3-28 11:58 作者: 推遲 時(shí)間: 2025-3-28 15:46
Julio J. González,Enrique Mandado they share a partial side of positive length. Each triangle in . represents a vertex, while each pair of adjacent triangles represents an edge in the planar graph. We consider the problem of determining when a proper touching triangle representation exists for a ., which is biconnected and after th作者: Ascribe 時(shí)間: 2025-3-28 20:02 作者: 收到 時(shí)間: 2025-3-29 00:59 作者: 輕打 時(shí)間: 2025-3-29 06:34 作者: 暴發(fā)戶 時(shí)間: 2025-3-29 08:08
Microelectronics Packaging Handbook planar graphs. We connect this problem to the theory of permutation patterns, where another open problem concerns the size of ., permutations that contain all patterns of a given size. We generalize superpatterns to classes of permutations determined by forbidden patterns, and we construct superpat作者: bromide 時(shí)間: 2025-3-29 13:57
https://doi.org/10.1007/978-1-4419-9377-9 them..The drawback of the characterization of SLTRs is that we are not able to effectively check whether a given graph admits a flat angle assignment that fulfills the conditions. Hence it is still open to decide whether the recognition of graphs that admit straight line triangle representation is 作者: 音樂(lè)會(huì) 時(shí)間: 2025-3-29 15:47
https://doi.org/10.1007/978-3-319-22545-6es. Firstly, planar .-trees admit 1-bend box-orthogonal drawings with boxes of size ., which generalizes a result of Tayu, Nomura, and Ueno. Secondly, they admit 1-bend polyline drawings with . slopes, which is significantly smaller than the . upper bound established by Keszegh, Pach, and Pálv?lgyi 作者: 祖?zhèn)髫?cái)產(chǎn) 時(shí)間: 2025-3-29 23:08 作者: LINE 時(shí)間: 2025-3-30 00:03 作者: oblique 時(shí)間: 2025-3-30 04:34 作者: 朦朧 時(shí)間: 2025-3-30 10:44 作者: Trabeculoplasty 時(shí)間: 2025-3-30 16:12 作者: 熱心助人 時(shí)間: 2025-3-30 18:09
Microelectronics Packaging Handbookds on a nonuniform density function. We, therefore, have to generalize the theory of area universal floorplans to this situation. The method is then used to prove a result about accommodating points in floorplans that is slightly more general than the conjecture of Ackerman et al.作者: CAJ 時(shí)間: 2025-3-30 21:43 作者: sigmoid-colon 時(shí)間: 2025-3-31 03:28
Microelectronics Packaging Handbookerns to construct universal point sets of size ../4???Θ(.), smaller than the previous bound by a 9/16 factor. We prove that every proper subclass of the 213-avoiding permutations has superpatterns of size .(.log..), which we use to prove that the planar graphs of bounded pathwidth have near-linear universal point sets.作者: 解脫 時(shí)間: 2025-3-31 08:28
Upward Planarity Testing: A Computational Studyint of view, but have never been implemented. For the first time, we give an extensive experimental comparison between virtually all known approaches to the problem..Furthermore, we present a new SAT formulation based on a recent theoretical result by Fulek et al. [8], which turns out to perform best among all known algorithms.作者: NIP 時(shí)間: 2025-3-31 12:04
Superpatterns and Universal Point Setserns to construct universal point sets of size ../4???Θ(.), smaller than the previous bound by a 9/16 factor. We prove that every proper subclass of the 213-avoiding permutations has superpatterns of size .(.log..), which we use to prove that the planar graphs of bounded pathwidth have near-linear universal point sets.作者: MONY 時(shí)間: 2025-3-31 14:07
Strip Planarity Testingas strong relationships with some of the most deeply studied variants of the planarity testing problem, such as ., ., and .. We show that the problem is polynomial-time solvable if . has a fixed planar embedding.作者: Aqueous-Humor 時(shí)間: 2025-3-31 17:48 作者: MEEK 時(shí)間: 2025-4-1 01:32
