메뉴 건너뛰기




Volumn 38, Issue 3, 2007, Pages 181-193

Graph drawings with few slopes

Author keywords

Graph drawing; Slope; Slope number

Indexed keywords


EID: 84867951774     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2006.08.002     Document Type: Article
Times cited : (42)

References (43)
  • 1
    • 30344457771 scopus 로고    scopus 로고
    • The slope parameter of graphs
    • Department of Mathematics, Technical University of Denmark, Lyngby, Denmark
    • G. Ambrus, J. Barát, P. Hajnal, The slope parameter of graphs, Tech. Rep. MAT-2005-07, Department of Mathematics, Technical University of Denmark, Lyngby, Denmark, 2005
    • (2005) Tech. Rep. MAT-2005-07
    • G. Ambrus1
  • 2
    • 30344438561 scopus 로고    scopus 로고
    • Bounded-degree graphs have arbitrarily large geometric thickness
    • J. Barát, J. Matoušek, and D.R. Wood Bounded-degree graphs have arbitrarily large geometric thickness Electron. J. Combin. 13 1 2006 R3
    • (2006) Electron. J. Combin. , vol.13 , Issue.1 , pp. 3
    • Barát, J.1    Matoušek, J.2    Wood, D.R.3
  • 3
    • 0000664045 scopus 로고
    • The asymptotic number of labeled graphs with given degree sequences
    • E.A. Bender, and E.R. Canfield The asymptotic number of labeled graphs with given degree sequences J. Combin. Theory Ser. A 24 1978 296 307
    • (1978) J. Combin. Theory Ser. A , vol.24 , pp. 296-307
    • Bender, E.A.1    Canfield, E.R.2
  • 4
    • 0025430764 scopus 로고
    • The complexity of finding uniform emulations on paths and ring networks
    • H.L. Bodlaender The complexity of finding uniform emulations on paths and ring networks Inform. and Comput. 86 1 1990 87 106
    • (1990) Inform. and Comput. , vol.86 , Issue.1 , pp. 87-106
    • Bodlaender, H.L.1
  • 5
    • 0002981945 scopus 로고    scopus 로고
    • A partial k-arboretum of graphs with bounded treewidth
    • H.L. Bodlaender A partial k-arboretum of graphs with bounded treewidth Theoret. Comput. Sci. 209 1-2 1998 1 45
    • (1998) Theoret. Comput. Sci. , vol.209 , Issue.12 , pp. 1-45
    • Bodlaender, H.L.1
  • 7
    • 84947931726 scopus 로고    scopus 로고
    • Drawing nice projections of objects in space
    • F.J. Brandenburg, Lecture Notes in Comput. Sci. Springer Berlin
    • P. Bose, F. Gómez, P.A. Ramos, and G.T. Toussaint Drawing nice projections of objects in space F.J. Brandenburg, Proc. International Symp. on Graph Drawing (GD '95) Lecture Notes in Comput. Sci. vol. 1027 1996 Springer Berlin 52 63
    • (1996) Proc. International Symp. on Graph Drawing (GD '95) , vol.1027 , pp. 52-63
    • Bose, P.1    Gómez, F.2    Ramos, P.A.3    Toussaint, G.T.4
  • 8
    • 44949281137 scopus 로고
    • Lattice diagrams with few slopes
    • J. Czyzowicz Lattice diagrams with few slopes J. Combin. Theory Ser. A 56 1 1991 96 108
    • (1991) J. Combin. Theory Ser. A , vol.56 , Issue.1 , pp. 96-108
    • Czyzowicz, J.1
  • 9
    • 7744238656 scopus 로고
    • Drawing orders with few slopes
    • J. Czyzowicz, A. Pelc, and I. Rival Drawing orders with few slopes Discrete Math. 82 3 1990 233 250
    • (1990) Discrete Math. , vol.82 , Issue.3 , pp. 233-250
    • Czyzowicz, J.1    Pelc, A.2    Rival, I.3
  • 10
    • 34249958355 scopus 로고
    • Crooked diagrams with few slopes
    • J. Czyzowicz, A. Pelc, I. Rival, and J. Urrutia Crooked diagrams with few slopes Order 7 2 1990 133 143
    • (1990) Order , vol.7 , Issue.2 , pp. 133-143
    • Czyzowicz, J.1    Pelc, A.2    Rival, I.3    Urrutia, J.4
  • 12
    • 84987493196 scopus 로고
    • Some results on tree decomposition of graphs
    • G. Ding, and B. Oporowski Some results on tree decomposition of graphs J. Graph Theory 20 4 1995 481 499
    • (1995) J. Graph Theory , vol.20 , Issue.4 , pp. 481-499
    • Ding, G.1    Oporowski, B.2
  • 13
    • 84867948399 scopus 로고    scopus 로고
    • Drawings of planar graphs with few slopes and segments
    • this issue
    • V. Dujmović, D. Eppstein, M. Suderman, and D.R. Wood Drawings of planar graphs with few slopes and segments Comput. Geom. 38 3 2007 194 212 this issue
    • (2007) Comput. Geom. , vol.38 , Issue.3 , pp. 194-212
    • Dujmović, V.1    Eppstein, D.2    Suderman, M.3    Wood, D.R.4
  • 16
    • 33745665823 scopus 로고    scopus 로고
    • Graph treewidth and geometric thickness parameters
    • P. Healy, N.S. Nikolov, Lecture Notes in Comput. Sci. Springer Berlin
    • V. Dujmović, and D.R. Wood Graph treewidth and geometric thickness parameters P. Healy, N.S. Nikolov, Proc. 13th International Symp. on Graph Drawing (GD '05) Lecture Notes in Comput. Sci. vol. 3843 2006 Springer Berlin 129 140 http://arxiv.org/math/0503553
    • (2006) Proc. 13th International Symp. on Graph Drawing (GD '05) , vol.3843 , pp. 129-140
    • Dujmović, V.1    Wood, D.R.2
  • 18
    • 84957357368 scopus 로고    scopus 로고
    • Finding the best viewpoints for three-dimensional graph drawings
    • G. Di Battista, Lecture Notes in Comput. Sci. Springer Berlin
    • P. Eades, M.E. Houle, and R. Webber Finding the best viewpoints for three-dimensional graph drawings G. Di Battista, Proc. 5th International Symp. on Graph Drawing (GD '97) Lecture Notes in Comput. Sci. vol. 1353 1997 Springer Berlin 87 98
    • (1997) Proc. 5th International Symp. on Graph Drawing (GD '97) , vol.1353 , pp. 87-98
    • Eades, P.1    Houle, M.E.2    Webber, R.3
  • 19
    • 24144447419 scopus 로고    scopus 로고
    • Separating thickness from geometric thickness
    • J. Pach, Contemporary Mathematics Amer. Math. Soc. Providence, RI
    • D. Eppstein Separating thickness from geometric thickness J. Pach, Towards a Theory of Geometric Graphs Contemporary Mathematics vol. 342 2004 Amer. Math. Soc. Providence, RI 75 86
    • (2004) Towards A Theory of Geometric Graphs , vol.342 , pp. 75-86
    • Eppstein, D.1
  • 21
    • 12344257559 scopus 로고    scopus 로고
    • Interval degree and bandwidth of a graph
    • F.V. Fomin, and P.A. Golovach Interval degree and bandwidth of a graph Discrete Appl. Math. 129 2-3 2003 345 359
    • (2003) Discrete Appl. Math. , vol.129 , Issue.23 , pp. 345-359
    • Fomin, F.V.1    Golovach, P.A.2
  • 23
    • 84957928352 scopus 로고    scopus 로고
    • Approximation algorithms for finding best viewpoints
    • S. Whitesides, Lecture Notes in Comput. Sci. Springer Berlin
    • M.E. Houle, and R. Webber Approximation algorithms for finding best viewpoints S. Whitesides, Proc. 6th International Symp. on Graph Drawing (GD '98) Lecture Notes in Comput. Sci. vol. 1547 1998 Springer Berlin 210 223
    • (1998) Proc. 6th International Symp. on Graph Drawing (GD '98) , vol.1547 , pp. 210-223
    • Houle, M.E.1    Webber, R.2
  • 24
    • 0012916299 scopus 로고
    • Planar configurations which determine few slopes
    • R.E. Jamison Planar configurations which determine few slopes Geom. Dedicata 16 1 1984 17 34
    • (1984) Geom. Dedicata , vol.16 , Issue.1 , pp. 17-34
    • Jamison, R.E.1
  • 25
    • 34250137356 scopus 로고
    • Structure of slope-critical configurations
    • R.E. Jamison Structure of slope-critical configurations Geom. Dedicata 16 3 1984 249 277
    • (1984) Geom. Dedicata , vol.16 , Issue.3 , pp. 249-277
    • Jamison, R.E.1
  • 26
    • 38249040591 scopus 로고
    • Few slopes without collinearity
    • R.E. Jamison Few slopes without collinearity Discrete Math. 60 1986 199 206
    • (1986) Discrete Math. , vol.60 , pp. 199-206
    • Jamison, R.E.1
  • 28
    • 12944270352 scopus 로고    scopus 로고
    • A note on caterpillar-embeddings with no two parallel edges
    • D.J. Kleitman, and R. Pinchasi A note on caterpillar-embeddings with no two parallel edges Discrete Comput. Geom. 33 2 2005 223 229
    • (2005) Discrete Comput. Geom. , vol.33 , Issue.2 , pp. 223-229
    • Kleitman, D.J.1    Pinchasi, R.2
  • 29
    • 0346834702 scopus 로고
    • Graphs with e edges have pagenumber O (E)
    • S.M. Malitz Graphs with E edges have pagenumber O (E) J. Algorithms 17 1 1994 71 84
    • (1994) J. Algorithms , vol.17 , Issue.1 , pp. 71-84
    • Malitz, S.M.1
  • 30
    • 0002767066 scopus 로고
    • Asymptotics for symmetric 0-1 matrices with prescribed row sums
    • B.D. McKay Asymptotics for symmetric 0-1 matrices with prescribed row sums Ars Combin. 19 A 1985 15 25
    • (1985) Ars Combin. , vol.19 , Issue.A , pp. 15-25
    • McKay, B.D.1
  • 31
    • 3242687291 scopus 로고    scopus 로고
    • A note on the minimum number of edge-directions of a convex polytope
    • S. Onn, and R. Pinchasi A note on the minimum number of edge-directions of a convex polytope J. Combin. Theory Ser. A 107 2004 147 151
    • (2004) J. Combin. Theory Ser. A , vol.107 , pp. 147-151
    • Onn, S.1    Pinchasi, R.2
  • 32
    • 30344461629 scopus 로고    scopus 로고
    • Bounded-degree graphs can have arbitrarily large slope numbers
    • J. Pach, and D. Pálvölgyi Bounded-degree graphs can have arbitrarily large slope numbers Electron. J. Combin. 13 1 2006 N1
    • (2006) Electron. J. Combin. , vol.13 , Issue.1 , pp. 1
    • Pach, J.1    Pálvölgyi, D.2
  • 33
    • 9244239177 scopus 로고    scopus 로고
    • On the number of directions determined by a three-dimensional points set
    • J. Pach, R. Pinchasi, and M. Sharir On the number of directions determined by a three-dimensional points set J. Combin. Theory Ser. A 108 1 2004 1 16
    • (2004) J. Combin. Theory Ser. A , vol.108 , Issue.1 , pp. 1-16
    • Pach, J.1    Pinchasi, R.2    Sharir, M.3
  • 34
    • 4544329772 scopus 로고    scopus 로고
    • Solution of Scott's problem on the number of directions determined by a point set in 3-space
    • ACM Press New York
    • J. Pach, R. Pinchasi, and M. Sharir Solution of Scott's problem on the number of directions determined by a point set in 3-space Proc. 20th ACM Symp. on Computational Geometry (SoCG '04) 2004 ACM Press New York 76 85
    • (2004) Proc. 20th ACM Symp. on Computational Geometry (SoCG '04) , pp. 76-85
    • Pach, J.1    Pinchasi, R.2    Sharir, M.3
  • 35
    • 20544442021 scopus 로고    scopus 로고
    • Algorithmic aspects of tree width
    • A. Reed, C.L. Sales, Springer New York
    • B.A. Reed Algorithmic aspects of tree width A. Reed, C.L. Sales, Recent Advances in Algorithms and Combinatorics 2003 Springer New York 85 107
    • (2003) Recent Advances in Algorithms and Combinatorics , pp. 85-107
    • Reed, B.A.1
  • 37
    • 0012954691 scopus 로고
    • On the sets of directions determined by n points
    • P.R. Scott On the sets of directions determined by n points Amer. Math. Monthly 77 1970 502 505
    • (1970) Amer. Math. Monthly , vol.77 , pp. 502-505
    • Scott, P.R.1
  • 38
    • 7244219753 scopus 로고    scopus 로고
    • Pathwidth and layered drawings of trees
    • M. Suderman Pathwidth and layered drawings of trees Internat. J. Comput. Geom. Appl. 14 3 2004 203 225
    • (2004) Internat. J. Comput. Geom. Appl. , vol.14 , Issue.3 , pp. 203-225
    • Suderman, M.1
  • 39
    • 0039753643 scopus 로고
    • 2N noncollinear points determine at least 2N directions
    • P. Ungar 2N noncollinear points determine at least 2N directions J. Combin. Theory Ser. A 33 3 1982 343 347
    • (1982) J. Combin. Theory Ser. A , vol.33 , Issue.3 , pp. 343-347
    • Ungar, P.1
  • 40
    • 0028336530 scopus 로고
    • Drawability of complete graphs using a minimal slope set
    • G.A. Wade, and J.-H. Chu Drawability of complete graphs using a minimal slope set Computer J. 37 2 1994 139 142
    • (1994) Computer J. , vol.37 , Issue.2 , pp. 139-142
    • Wade, G.A.1    Chu, J.-H.2
  • 41
    • 84867986862 scopus 로고    scopus 로고
    • Characterisations of intersection graphs by vertex orderings
    • D.R. Wood Characterisations of intersection graphs by vertex orderings Australas. J. Combin. 34 2006 261 268
    • (2006) Australas. J. Combin. , vol.34 , pp. 261-268
    • Wood, D.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.