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An equitable partition for a distance-regular graph of negative type
2005
Journal of combinatorial theory. Series B (Print)
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Let denote a distance-regular graph with diameter d 3. Assume has classical parameters We investigate the extent to which is 1-homogeneous in the sense of Nomura. ...
We show that either is 1-homogeneous, or else has a certain equitable partition of its vertex set which involves 4d − 1 cells. ...
Terwilliger for his careful reading of the earlier versions of this paper and for his comments. ...
doi:10.1016/j.jctb.2005.02.007
fatcat:aosit4vejng4beerbh3b7am3xa
Page 4600 of Mathematical Reviews Vol. , Issue 82k
[page]
1982
Mathematical Reviews
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In this paper the author constructs a distance-regular graph with intersection array {10,8,8,2;1,1,4,5} amd the associated near octagon. ...
Furthermore, if the intersection array of G has the form
{s(¢+1),st,st,s(t—t;),---,s(t—ta-1); 1l,t4+1,---,tg-,+1,¢4+1},
then the vertices and maximal cliques constitute what has been called a regular near ...
Image partitioning into convex polygons
2015
2015 IEEE Conference on Computer Vision and Pattern Recognition (CVPR)
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Our algorithm partitions images into convex polygons. It presents several interesting properties in terms of geometric guarantees, region compactness and scalability. ...
The overall strategy consists in building a Voronoi diagram that conforms to preliminarily detected line-segments, before homogenizing the partition by spatial point process distributed over the image ...
The authors thank Lionel Laurore, Justin Hyland, Véronique Poujade and Frédéric Trastour for technical discussions and satellite datasets. ...
doi:10.1109/cvpr.2015.7298931
dblp:conf/cvpr/DuanL15
fatcat:lwh5oo6btba5pifcqopkqvrbxm
European Journal of Combinatorics Contents, Volume 26
2005
European journal of combinatorics (Print)
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-W., An inequality for regular near polygons . . . . . . . . . . . . . . . . 227 CHEN, W.Y.C., DENG, E.Y.P. and DU, R.R.X., Reduction of m-regular noncrossing partitions . . . . . . . . . . . . . 237 HAN ...
-F., KWAK, J.H. and NEDELA, R., Regular embeddings of complete multipartite graphs . . . . . . . . . . . . . . 505 LI, C.H. andŠIRÁŇ, J., Regular maps whose groups do not act faithfully on vertices, edges ...
doi:10.1016/s0195-6698(05)00128-9
fatcat:fb5uilehgvgzxgmj7sfw4lm5hq
SINGLY-PERIODIC MINIMAL SURFACES IN ℍ2×ℝ
2012
Bulletin of the Korean Mathematical Society
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piece of finite total curvature and is asymptotic to a finite number of vertical planes; the last one is a 2-parameter family of minimal surfaces which fill H 2 × R by finite Scherk's towers. ...
The first one is a 1-parameter family of minimal surfaces which is asymptotic to a horizontal plane and a vertical plane; the second one is a 2-parameter family of minimal surfaces which has a fundamental ...
Morrey's result [9] requires the ambient manifold M 3 to be complete and homogeneously regular. ...
doi:10.4134/bkms.2012.49.5.1089
fatcat:ugyos2fuffeq5aq7f2qavozefy
Complete optimal deployment patterns for full-coverage and k-connectivity (k≤6) wireless sensor networks
2008
Proceedings of the 9th ACM international symposium on Mobile ad hoc networking and computing - MobiHoc '08
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We propose a new deployment-polygon based methodology, and prove their optimality among regular patterns when Rc/Rs ≥ 1. ...
We conjecture that our patterns are globally optimal to achieve full coverage and threeconnectivity, and full coverage and five-connectivity, under all ranges of Rc/Rs. ...
Fig. 1 shows the deployment graphs of two possible regular deployment achieving 3 and 5-connectivity, respectively. ...
doi:10.1145/1374618.1374672
dblp:conf/mobihoc/BaiXYLJ08
fatcat:d3qh27uvrbgelci6ce3sbm7e2y
European Journal of Combinatorics Index, Volume 26
2005
European journal of combinatorics (Print)
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., An inequality for regular near polygons . . . . . . . . . . . . . . . . 227 THOMAS, R. and WOLLAN, P., An improved linear edge bound for graph linkages . . . . . . . . . . . . . . . . . 309
BEDNARSKA ...
., KWAK, J.H. and WANG, K., Classifying cubic symmetric graphs of order 8 p or 8 p 2 . . . . . . . . . . . . 1033 GARCIA-DOMINGO, J.L. and SORIA, J., A decreasing rearrangement for functions on homogeneous ...
doi:10.1016/s0195-6698(05)00129-0
fatcat:vuytixhru5bupfpbxzzanswabu
HIGH QUALITY QUADRILATERAL SURFACE MESHING WITHOUT TEMPLATE RESTRICTIONS: A NEW APPROACH BASED ON NETWORK FLOW TECHNIQUES
2000
International journal of computational geometry and applications
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This approach handles optimization criteria such as density, angles and regularity, too. ...
and satis es prescribed local density constraints. ...
M ohring and K. Weihe for many fruitful discussions, and G. Krause for providing us with the nite element preprocessor ISAGEN and instances from the automobile industry. Finally, we thank A. ...
doi:10.1142/s0218195900000176
fatcat:ixtmu3foxjhpviunumpphrisai
Distance-regular graphs
[article]
2016
arXiv
pre-print
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We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the ...
This is a survey of distance-regular graphs. ...
Let Γ be a thick regular near polygon with diameter D and head h. ...
arXiv:1410.6294v2
fatcat:s6kq2ydbtzaldcwjk4qgawfawu
On approaches to polygonal decomposition for hierarchical image representation
1983
Computer Vision Graphics and Image Processing
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Approaches to polygonal decomposition for hierarchical image representation are described. ...
Triangular and square quad trees are appropriate for the triangular and square grids, whereas trees of order 7 are necessary for the hexagonal grid. 200 ...
Navy, and U.S. Air Force) under Contract NO001479-C-0424 is gratefully acknowledged, as is the help of Mary Foster in preparing this paper. ...
doi:10.1016/0734-189x(83)90043-9
fatcat:zvqv3zuxnra5hnumebngc7aufq
Polygonal Building Segmentation by Frame Field Learning
[article]
2021
arXiv
pre-print
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This additional objective improves segmentation quality by leveraging multi-task learning and provides structural information that later facilitates polygonization; we also introduce a polygonization algorithm ...
Our code is available at https://github.com/Lydorn/Polygonization-by-Frame-Field-Learning. ...
We can see our method provides the missing information needed to resolve ambiguous cases for polygonization and outputs more regular polygons. ...
arXiv:2004.14875v2
fatcat:iaql4iwbvrawrfcaemgeyt2b7q
Indexing and Browsing Digital Maps with Intelligent Thumbnails
[chapter]
2002
Advances in Spatial Data Handling
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connection graph. ...
To make the thumbnail exchangeable in a distributed and heterogeneous environment, the underlying Standard Reference Tessellation (SRT) is qualitatively abstracted from a polygonal representation to a ...
The projection of the polygonal footprint of a geographic feature onto a regular, homogeneous grid is depicted in Fig 2. ...
doi:10.1007/978-3-642-56094-1_6
fatcat:qy6rqduj2bd2bjpl4ca7rgezji
Periodic boundary conditions on the pseudosphere
2007
Journal of Physics A: Mathematical and Theoretical
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dynamics of particles on the pseudosphere and the study of classical spins on hyperbolic lattices. ...
Starting from the common case of periodic boundary conditions in the Euclidean plane, we introduce all the needed mathematical notions and sketch a classification of periodic boundary conditions on the ...
the associated tiling (we only consider regular metric fundamental polygons and regular tilings), -the pairing of the sides, which can be achieved by using the graph formalism detailed above. ...
doi:10.1088/1751-8113/40/43/004
fatcat:czy2e2wnuff7hoftpsvl57p55y
Deep Learning and Adaptive Graph-Based Growing Contours for Agricultural Field Extraction
2020
Remote Sensing
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Monitoring schemes and national cadasters provide a rich source of information but their maintenance and regular updating is costly and labor-intensive. ...
Automatized mapping of fields based on remote sensing imagery may aid in this task and allow for a faster and more regular observation. ...
Acknowledgments: We thank the students and student assistants who carried out in-situ mapping campaigns and helped produce and update the reference data. ...
doi:10.3390/rs12121990
fatcat:tof5iu3tdzcpxhdabwxkjevgry
A new approach for a topographic feature-based characterization of digital elevation data
2004
Proceedings of the 12th annual ACM international workshop on Geographic information systems - GIS '04
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Firstly, a segmentation process extracts homogeneous morphological areas bounded by critical lines and points. ...
Triangular Irregular Network (TIN) and Regular Square Grid (RSG) are widely used for representing 2.5 dimensional spatial data. ...
In such a graph, each node and edge may represent a polygon (resp. a feature point) and the adjacency between two polygons (resp. two feature points). ...
doi:10.1145/1032222.1032235
dblp:conf/gis/SauxTLK04
fatcat:edffgajnmnhilixufaky55dfv4
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