作者: bifurcate 時間: 2025-3-21 22:32
https://doi.org/10.1007/978-981-16-2922-8We study Hanani-Tutte style theorems for various notions of planarity, including partially embedded planarity, and simultaneous planarity. This approach brings together the combinatorial, computational and algebraic aspects of planarity notions and may serve as a uniform foundation for planarity, as suggested in the writings of Tutte and Wu.作者: 痛得哭了 時間: 2025-3-22 00:29
Graph Drawing in the Cloud: Privately Visualizing Relational Data Using Small Working StorageWe study graph drawing in a cloud-computing context where data is stored externally and processed using a small local working storage. We show that a number of classic graph drawing algorithms can be efficiently implemented in such a framework where the client can maintain privacy while constructing a drawing of her graph.作者: 體貼 時間: 2025-3-22 07:07 作者: 為寵愛 時間: 2025-3-22 12:31 作者: 袖章 時間: 2025-3-22 16:43
Microbial Survival in the Environmentgulations of the same size, how many edge flips are necessary and sufficient to transform one triangulation into the other? We focus both on the combinatorial perspective (where only a combinatorial embedding of the graph is specified) and the geometric perspective (where the graph is embedded in th作者: 袖章 時間: 2025-3-22 17:52
Hydrogen Production by Cyanobacteria, scientific, or national security decisions. Since networks are often complex and cluttered, strategies for effective filtering, clustering, grouping, and simplification are helpful in finding key nodes and links, surprising clusters, important groups, or meaningful patterns. We describe readabilit作者: 高深莫測 時間: 2025-3-23 01:13
Khac-Uan Do,Thanh-Son Bui,Ngoc-Thuy Vuphs. Such methods have been recently applied to obtain various properties of triangulations that are embedded over a fixed set of points in the plane. We show how this method can be generalized to obtain results for various other types of graphs that are embedded in the plane. Specifically, we obtai作者: 腐蝕 時間: 2025-3-23 03:38
E-waste and Its Management by Using Algae, common graph is drawn the same. Previous algorithms only work for cases where?. is connected, and hence do not need to handle relative positions of connected components. We consider the problem where?., . and?. are not necessarily connected..First, we show that a general instance of . can be reduce作者: 轉換 時間: 2025-3-23 06:43
Bacterial Toxins and Human Health,ion techniques make it scale to very large graphs. In comparison with other methods, however, it is considered inflexible and prone to degenerate layouts for some classes of graphs..We want to challenge this belief by demonstrating that the method can be flexibly adapted to provide focus+context lay作者: Prognosis 時間: 2025-3-24 01:24
Microbial Zoonoses and Sapronoseseach edge. Despite recent interest of the graph drawing community in rectangle-of-influence drawings, no algorithm is known to test whether a graph has a planar open weak RI-drawing..In a recent paper, we showed how to test, for inner-triangulated planar graphs, whether they have a planar open weak 作者: 藥物 時間: 2025-3-24 03:26 作者: genuine 時間: 2025-3-24 08:54
Wolfgang Karl Hofbauer,Georg G?rtners around every vertex. Our construction is based on the Koebe–Andreev–Thurston circle packing theorem, and uses a novel type of Voronoi diagram for circle packings that is invariant under M?bius transformations, defined using three-dimensional hyperbolic geometry. We also use circle packing to const作者: abstemious 時間: 2025-3-24 13:11
Induced Systemic Resistance in Rice,the vertices of . correspond to the intersection and touching points of the circles and the edges of . are the arc segments among pairs of intersection and touching points of the circles. In this paper, (a)?we affirmatively answer Lovász’s conjecture, if . is 3-connected, and, (b)?we demonstrate an 作者: aggrieve 時間: 2025-3-24 15:15
Microbicides for the Protection of Materialsgments, in smooth orthogonal layouts every edge is made of axis-aligned segments and circular arcs with common tangents. Our goal is to create such layouts with low edge complexity, measured by the number of line and circular arc segments. We show that every biconnected 4-planar graph has a smooth o作者: TEN 時間: 2025-3-24 22:17
Microbiological Hazards of Infusion Therapygraphs are ..-VPG and this was conjectured to be tight. We disprove this conjecture by showing that all planar graphs are ..-VPG. We also show that the 4-connected planar graphs are a subclass of the intersection graphs of Z-shapes (i.e., a special case of ..-VPG). Additionally, we demonstrate that 作者: 不規(guī)則的跳動 時間: 2025-3-24 23:45
Methods of Sterilization and Disinfection,are represented by a proper contact between the cuboids representing their endvertices. Two cuboids make a proper contact if they intersect and their intersection is a non-zero area rectangle contained in the boundary of both. We study representations where all cuboids are unit cubes, where they are作者: bacteria 時間: 2025-3-25 04:48
https://doi.org/10.1007/978-81-322-1087-0d each edge . is represented as a side contact of the triangles that correspond to the end vertices of .. We call Γ a proper TTG representation if Γ determines a tiling of a triangle, where each tile corresponds to a distinct vertex of the input graph. In this paper we prove that every 3-connected c作者: 盲信者 時間: 2025-3-25 08:43 作者: magnate 時間: 2025-3-25 12:21 作者: invade 時間: 2025-3-25 18:51
Interactive Network Exploration to Derive Insights: Filtering, Clustering, Grouping, and Simplificat, scientific, or national security decisions. Since networks are often complex and cluttered, strategies for effective filtering, clustering, grouping, and simplification are helpful in finding key nodes and links, surprising clusters, important groups, or meaningful patterns. We describe readabilit作者: Terminal 時間: 2025-3-25 23:32
Counting Plane Graphs: Cross-Graph Charging Schemesphs. Such methods have been recently applied to obtain various properties of triangulations that are embedded over a fixed set of points in the plane. We show how this method can be generalized to obtain results for various other types of graphs that are embedded in the plane. Specifically, we obtai作者: irritation 時間: 2025-3-26 01:55 作者: capsule 時間: 2025-3-26 04:35
Graph Drawing by Classical Multidimensional Scaling: New Perspectivesion techniques make it scale to very large graphs. In comparison with other methods, however, it is considered inflexible and prone to degenerate layouts for some classes of graphs..We want to challenge this belief by demonstrating that the method can be flexibly adapted to provide focus+context lay作者: Absenteeism 時間: 2025-3-26 10:30 作者: 古代 時間: 2025-3-26 14:58
Implementing a Partitioned 2-Page Book Embedding Testing Algorithm do not cross. In the .2. problem egdes are partitioned into two sets .. and .., the pages are two, the edges of .. are assigned to page 1, and the edges of .. are assigned to page 2. The problem consists of checking if an ordering of the vertices exists along the spine so that the edges of each pag作者: Angioplasty 時間: 2025-3-26 19:29 作者: exceptional 時間: 2025-3-27 00:53
Open Rectangle-of-Influence Drawings of Non-triangulated Planar Graphseach edge. Despite recent interest of the graph drawing community in rectangle-of-influence drawings, no algorithm is known to test whether a graph has a planar open weak RI-drawing..In a recent paper, we showed how to test, for inner-triangulated planar graphs, whether they have a planar open weak 作者: helper-T-cells 時間: 2025-3-27 02:29 作者: 水獺 時間: 2025-3-27 08:18
Planar Lombardi Drawings for Subcubic Graphss around every vertex. Our construction is based on the Koebe–Andreev–Thurston circle packing theorem, and uses a novel type of Voronoi diagram for circle packings that is invariant under M?bius transformations, defined using three-dimensional hyperbolic geometry. We also use circle packing to const作者: 樂章 時間: 2025-3-27 09:39 作者: Inoperable 時間: 2025-3-27 16:09 作者: 反叛者 時間: 2025-3-27 18:13
Planar Graphs as VPG-Graphsgraphs are ..-VPG and this was conjectured to be tight. We disprove this conjecture by showing that all planar graphs are ..-VPG. We also show that the 4-connected planar graphs are a subclass of the intersection graphs of Z-shapes (i.e., a special case of ..-VPG). Additionally, we demonstrate that 作者: corn732 時間: 2025-3-27 23:26
On Representing Graphs by Touching Cuboidsare represented by a proper contact between the cuboids representing their endvertices. Two cuboids make a proper contact if they intersect and their intersection is a non-zero area rectangle contained in the boundary of both. We study representations where all cuboids are unit cubes, where they are作者: outset 時間: 2025-3-28 05:00 作者: Bridle 時間: 2025-3-28 09:18 作者: 沉著 時間: 2025-3-28 11:08
Counting Plane Graphs: Cross-Graph Charging Schemes the set of all crossing-free straight-edge graphs that can be embedded over a specific point set..We then show how to apply the cross-graph charging-scheme method for graphs that allow certain types of crossings. Specifically, we consider graphs with no set of . pairwise-crossing edges (more common作者: archetype 時間: 2025-3-28 17:50 作者: appall 時間: 2025-3-28 19:46 作者: beta-cells 時間: 2025-3-29 01:49 作者: CORE 時間: 2025-3-29 05:09 作者: 莊嚴 時間: 2025-3-29 11:18 作者: 袋鼠 時間: 2025-3-29 14:40
Microbial Survival in the Environmentnatorial perspective (where only a combinatorial embedding of the graph is specified) and the geometric perspective (where the graph is embedded in the plane, vertices are points and edges are straight-line segments).We highlight some of the techniques used to prove the main results and mention a few of the challenges remaining in this area.作者: Leisureliness 時間: 2025-3-29 16:11 作者: Interim 時間: 2025-3-29 23:13 作者: 發(fā)牢騷 時間: 2025-3-30 02:54 作者: Axon895 時間: 2025-3-30 06:27
Graph Drawing by Classical Multidimensional Scaling: New Perspectivesuts for some classes of graphs..We want to challenge this belief by demonstrating that the method can be flexibly adapted to provide focus+context layouts. Moreover, we propose an alternative instantiation that appears to be more suitable for graph drawing and prevents certain degeneracies.作者: 我說不重要 時間: 2025-3-30 12:16
Circle-Representations of Simple 4-Regular Planar Graphsn and touching points of the circles. In this paper, (a)?we affirmatively answer Lovász’s conjecture, if . is 3-connected, and, (b)?we demonstrate an infinite class of connected 4-regular planar graphs which are not 3-connected and do not admit a realization as a system of circles.作者: justify 時間: 2025-3-30 13:22 作者: 熱烈的歡迎 時間: 2025-3-30 16:32 作者: Inflamed 時間: 2025-3-30 23:00
Dwaipayan Sinha,Satarupa Dey,Anjana Singh drawing algorithm that computes (0,..)-rectangle of influence drawings of binary trees in area ., where .(..) is a logarithmic function that tends to infinity as .. tends to zero, and . is the number of vertices of the input tree.作者: helper-T-cells 時間: 2025-3-31 04:39 作者: reserve 時間: 2025-3-31 05:19 作者: 頑固 時間: 2025-3-31 09:44 作者: REIGN 時間: 2025-3-31 16:00
Implementing a Partitioned 2-Page Book Embedding Testing Algorithmnt implementation of this algorithm and show its effectiveness by performing a number of experimental tests. Because of the relationships [13] between .2. and clustered planarity we yield as a side effect an implementation of a clustered planarity testing where the graph has exactly two clusters.作者: Cursory 時間: 2025-3-31 20:08
The Approximate Rectangle of Influence Drawability Problem drawing algorithm that computes (0,..)-rectangle of influence drawings of binary trees in area ., where .(..) is a logarithmic function that tends to infinity as .. tends to zero, and . is the number of vertices of the input tree.作者: TEN 時間: 2025-4-1 01:19
On Representing Graphs by Touching Cuboids representation by unit cubes. We also describe algorithms that compute proper contact representations of varying size cubes for relevant graph families. Finally, we give two new simple proofs of a theorem by Thomassen stating that all planar graphs have a proper contact representation by touching cuboids.作者: FICE 時間: 2025-4-1 05:23
Touching Triangle Representations for 3-Connected Planar Graphs by rectangular grid drawings (e.g., square grid graphs). Finally, we describe a fixed-parameter tractable decision algorithm for testing whether a 3-connected planar graph admits a proper TTG representation.作者: 騎師 時間: 2025-4-1 06:36 作者: Calibrate 時間: 2025-4-1 12:53 作者: 油膏 時間: 2025-4-1 15:11 作者: 法官 時間: 2025-4-1 21:33
Open Rectangle-of-Influence Drawings of Non-triangulated Planar Graphsther hand, we show that if the planar embedding is not fixed, then deciding if a given planar graph has an open weak RI-drawing is NP-complete. NP-completeness holds even for open weak RI-drawings with non-aligned frames.作者: Odyssey 時間: 2025-4-2 02:08
Bioactive Compounds from Extremophilesatorial search space, which is of benefit for all enumeration-type algorithms. Based thereon, we give new classes of polynomially testable graphs and a practically efficient exact planarity test for general clustered graphs based on an integer linear program.作者: Defense 時間: 2025-4-2 03:16 作者: ANTE 時間: 2025-4-2 07:14 作者: 內行 時間: 2025-4-2 14:31
Microbiological Hazards of Infusion Therapya ..-VPG representation of a planar graph can be constructed in .(..) time. We further show that the triangle-free planar graphs are contact graphs of: L-shapes, Γ-shapes, vertical segments, and horizontal segments (i.e., a special case of contact ..-VPG). From this proof we gain a new proof that bipartite planar graphs are a subclass of 2-DIR.
