Di erence Metrics for Interactive Orthogonal Graph Drawing Algorithms
Di erence Metrics for Interactive Orthogonal Graph Drawing Algorithms
... transformations for certain metrics or if something is known about the relationship between the two drawings For example, interactive drawing algorithms often preserve the rotation of the drawing ... existing drawing and the new drawing in each pair This is very difficult to when each pair of drawings is of a different graph, and most interactive drawing algorithms only produce a single drawing ... compare the results of different interactive drawing algorithms, and • providing a goal for the design of new drawing algorithms by identifying which qualities of the drawing are the most important...
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Báo cáo toán học: "Skolem-type Difference Sets for Cycle Systems)" pot
... of Difference Sets for Cycle Systems Before proving the main theorem, we need the following two lemmas which are used in extending m -cycle difference sets of size t to (m + 4) -cycle difference sets ... 4) -cycle difference sets of size t Lemma 2.1 is for ordinary Skolem-type m -cycle difference sets and Lemma 2.2 is for hooked Skolem-type m -cycle difference sets Lemma 2.1 Let n, r and t be positive integers ... = An m -cycle difference set using edges of lengths 1, 2, , mt, and in which all of the m-tuples are of Skolem type, is called a Skolem-type m -cycle difference set of size t An m -cycle difference...
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Báo cáo toán học: " Derangements and Euler’s difference table for C" potx
... consider the probl`me de rencontres in the group C Sn via e Euler’s difference table For a fixed integer ≥ 1, we define Euler’s difference table for C Sn to be the array (g m )n, m≥0 defined by ,n g n,n ... (g2,n ) Table 1: Values of g m for ≤ m ≤ n ≤ and ,n = or n The = case of (1.1) corresponds to Euler’s difference table, where g1,n is the cardi0 nality of Sn and g1,n is the number of derangements, ... σ and sgnπ (i) = π = ¯ ¯ ¯ then = (1, ζ, ζ, ζ 2) and sgnπ (4) = ζ 43 i for i ∈ [n] For example, if ii) For i ∈ [n] and j ∈ {0, 1, , − 1} define ζ j i + k = ζ j (i + k) for ≤ k ≤ n − i, and...
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Fully Dynamic 3Dimensional Orthogonal Graph Drawing
... Closson et al., Fully Dynamic 3-D Graph Drawing, JGAA, 5(2) 1–34 (2000)2 Introduction and Previous Work In this paper we describe a 3-dimensional orthogonal drawing strategy for graphs of maximum ... 3-dimensional orthogonal drawing of graphs with n vertices of degree at most was presented in which each edge is routed with at most bends in a volume M Closson et al., Fully Dynamic 3-D Graph Drawing, ... Incremental Orthogonal Graph Drawing in Three Dimensions, J of Graph Algorithms and Applications, Vol 3, No 4, pp 81-115, 1999 [9] D Wood, An Algorithm for Three-Dimensional Orthogonal Graph Drawing, ...
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Báo cáo toán học: "Improved LP Lower Bounds for Difference Triangle Sets" potx
... bounds and the best upper bounds known For example the lower bound for M (15, 10) in [1] is 958, the lower bound using Lorentzen and Nilsen’s formulation is 962 and the lower bound in this paper ... incorrect) The Lorentzen and Nilsen [3] lower bound for this case is 75, the lower bound in this paper is 77 Remark 2: For small values of J we can solve the LP for all values of I obtaining: M (I, ... Colbourn, Difference Triangle Sets”, Chapter in The CRC Handbook of Combinatorial Designs by C.J Colbourn and J Dintz (ISBN 0-8493-8948-8), 1996, p 312-317 [2] T Kløve, Bounds and Construction for Difference...
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Báo cáo toán học: "An Ap´ry-like difference equation e for Catalan’s constant" pps
... [5] H Cohen, “Acc´l´ration de la convergence de certaines r´currences lin´aires”, S´minaire ee e e e de Th´orie des nombres de Bordeaux (Ann e 1980–81), expos´ 16, pages e e e [6] W B Jones and ... “Well-poised hypergeometric service for diophantine problems of zeta values”, Actes des 12`mes rencontres arithm´tiques de Caen (June 29–30, 2001), J Th´orie Nombres e e e Bordeaux, to appear ... 3F2-hypergeometric series The corresponding very-well-poised hypergeometric series (8) at z = −1 can be reduced to a simpler series with the help of Whipple’s transform ([2], Section 4.4, formula (2)):...
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Multi graph based active learning for interactive video retrieval
... closed form solution f ∗ = (I − αS)−1 Y 3.3 (3.16) Extension to multi- graph learning Single graph- based methods can be naturally extended to multi- graph based methods for multi- modality learning Multi- modality ... single graph based learning to multi- graph based leaning for both early and late fusion schemes 3.3.1 Early fusion of multi- modalities Graph fusion formulation Recall that for single graph based ... framework of an interactive video retrieval system with active learning Problem definition The aim of the project is to design an interactive video retrieval system with active learning that addresses...
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Techniques for the Re nement of Orthogonal Graph Drawings
... procedure for refinement searches the space in the grid at the self crossing to determine if the there is enough space for the node to be placed there If so, the node is moved and the endpoints of the ... poor since some of these qualities work against each other Therefore most algorithms try to layout the graph in a manner which is good for some set of aesthetics Current orthogonal graph drawing ... the most evolved implementation of the Graph Drawing Server (GDS) and thus refinement has a lesser impact on these drawings One of the main steps of Giotto finds the minimum number of bends of...
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Economic metrics for wind energy projects
... Bolinger for US DOE [11] (check) n.a n.a n.a Partial data; 0.68c€/kWh for the most recent n.a projects; 1.7 c€/kWh for older projects Models of projects economic evaluation 3.1 Economic basics of projects ... of the wind farms are for at least 20 years 4.2 Peculiarities in the cost analysis of wind energy projects The adoption of standardized methodology for calculating the cost of wind energy projects ... investment alternatives for renewable energy projects have the following net cash flow per period, as shown in Table Table Example of net cash flow for economic performance in energy projects (NPV method)...
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Graph Drawing - General Directed
... SINK sp-digraph (G1) G1 SOURCE Graph Drawing 96 Drawings of Planar DAGs s planar upward drawing s visibility drawing s tessellation drawing Graph Drawing 97 Tessellation Drawing TessellationDrawing ... box inclusion drawings) s drawings of series-parallel digraphs (delta drawings) s drawings of planar acyclic digraphs (visibility drawings, upward planar polyline drawings) Graph Drawing 90 Tree ... TessellationDrawing F-Language f: face v2 RE f: face [ α→ v2: vertex ; bottomVertex → v1: vertex] TE BE v1 RE Graph Drawing 98 Tessellation Drawing TessellationDrawing F-Language e:edge Graph Drawing...
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Graph Drawing - General Undirected
... Strategies for Drawing General Undirected Graphs s s s Planarization method s if the graph is nonplanar, make it planar! (by placing dummy vertices at the crossings) s use one of the drawing algorithms ... algorithms for planar graphs e.g., GIOTTO [Tamassia Batini Di Battista 87] Orientation method s orient the graph into a digraph s use one the drawing algorithms for digraphs Force-Directed method ... above constraint Graph Drawing 61 GIOTTO [Tamassia Di Battista Batini 88] s time complexity: O((N+C)2log N) n tio za i ar n la p n a tio iz im n i nd e m b Graph Drawing 62 Graph Drawing 63 48 10...
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Graph Drawing - Planar Undirected
... every planar graph admits a planar straight-line drawing Planar straight-line drawings may need Ω(n2) area [de Fraysseix Pach Pollack 88, Schnyder 89, Kant 92]: O(n2)-area planar straight-line ... Graph Drawing 37 Planar Orthogonal Drawings: Minimization of Bends s given planar graph of degree ≤ 4, we want to find a planar orthogonal drawing of G with the minimum number of bends Graph Drawing ... triconnected planar graphs have a unique embedding s Graph Drawing 33 The Complexity of Planarity Testing s s s Planarity testing and constructing a planar embedding can be done in linear time: s depth-first-search...
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Graph Drawing - Planar Directed
... Construct Upward Planar Drawings s s Since an upward planar digraph is a subgraph of a planar st-digraph, we only need to know how to draw planar st-digraphs If G is a planar st-digraph without ... (upward planar polyline drawings) Graph Drawing 56 Planar Drawings of Graphs and Digraphs s We can use the techniques for dominance drawings also for undirected planar graphs: s orient G into a planar ... Lubiw 91] s O(n )-time for single-source digraphs [Bertolazzi Di Battista Mannino Tamassia 93] s O(n)-time for single-source digraphs [Garg Tamassia 93] s NP-complete Graph Drawing 53 How to...
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Graph Drawing - Trees
... drawing orthogonal drawing Graph Drawing Drawing Conventions planar othogonal straight-line drawing a b c e d f g strong visibility representation f a b d c e g Graph Drawing Drawing Conventions ... or with a set notation) Graph Drawing 13 Getting Started with Graph Drawing s Book on Graph Drawing by G Di Battista, P Eades, R Tamassia, and I G Tollis, ISBN 0-1 3-3 0161 5-3 , Prentice Hall, (available ... minimum width drawing s minimizing the width is NP-hard if integer coordinates are required Graph Drawing 20 Area-Efficient Drawings of Trees s s s planar straight-line orthogonal upward grid drawing...
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Tài liệu NoSQL Database Technology: Post-relational data management for interactive software systems docx
... implementations differ, NoSQL database management systems share a common set of characteristics: • No schema required Data can be inserted in a NoSQL database without first defining a rigid database schema ... necessity, forced to invent new approaches to data management These NoSQL or non-relational database technologies are a better match for the needs of modern interactive software systems But ... WWW.COUCHBASE.COM NOSQL DATABASE TECHNOLOGY • Distributed query support “Sharding” an RDBMS can reduce, or eliminate in certain cases, the ability to perform complex data queries NoSQL database systems...
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