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Original Articles

Orderly algorithms for graph generation

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Pages 167-172 | Published online: 20 Mar 2007

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Harald Fripertinger & Peter Lackner. (2015) Tone rows and tropes. Journal of Mathematics and Music 9:2, pages 111-172.
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Peter Lackner, Harald Fripertinger & Gerhard Nierhaus. 2015. Patterns of Intuition. Patterns of Intuition 279 313 .
Mohammad Mahdi Jaghoori, Sung-Shik T.Q. Jongmans, Frank de Boer, Julio Peironcely, Jean-Loup Faulon, Theo Reijmers & Thomas Hankemeier. (2013) PMG: Multi-core Metabolite Identification. Electronic Notes in Theoretical Computer Science 299, pages 53-60.
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Julio E Peironcely, Miguel Rojas-Chertó, Davide Fichera, Theo Reijmers, Leon Coulier, Jean-Loup Faulon & Thomas Hankemeier. (2012) OMG: Open Molecule Generator. Journal of Cheminformatics 4:1.
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Felix Arends, Joël Ouaknine & Charles W. Wampler. 2011. Graph-Theoretic Concepts in Computer Science. Graph-Theoretic Concepts in Computer Science 23 34 .
R Simoni, A P Carboni & D Martins. (2008) Enumeration of kinematic chains and mechanisms. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 223:4, pages 1017-1024.
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Rajesh P. Sunkari & Linda C. Schmidt. (2006) Structural synthesis of planar kinematic chains by adapting a Mckay-type algorithm. Mechanism and Machine Theory 41:9, pages 1021-1030.
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Milan Randić. (2003) Aromaticity of Polycyclic Conjugated Hydrocarbons. Chemical Reviews 103:9, pages 3449-3606.
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Steven B. Gillispie & Michael D. Perlman. (2002) The size distribution for Markov equivalence classes of acyclic digraph models. Artificial Intelligence 141:1-2, pages 137-155.
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Priscila P. Alejandro, Anton Betten & Alice C. Niemeyer. (2000) Orderly generation of half-regular symmetric designs via Rahilly families of pre-difference sets. Journal of Geometry 67:1-2, pages 2-22.
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Gordon F. Royle. (1998) An orderly algorithm and some applications in finite geometry. Discrete Mathematics 185:1-3, pages 105-115.
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C.R. Tischler, A.E. Samuel & K.H. Hunt. (1995) Kinematic chains for robot hands—I. Orderly number-synthesis. Mechanism and Machine Theory 30:8, pages 1193-1215.
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Hu Guanzhang & Li Minshan. (1993) On the construction and enumeration of Hamiltonian graphs. Applied Mathematics 8:1, pages 25-31.
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Charles J. Colbourn, Spyros S. Magliveras & D. R. Stinson. (1992) Steiner triple systems of order 19 with nontrivial automorphism group. Mathematics of Computation 59:199, pages 283-295.
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Leslie Ann Goldberg. (1992) Efficient algorithms for listing unlabeled graphs. Journal of Algorithms 13:1, pages 128-143.
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Charles J. Colbourn, Rudolf A. Mathon, Alexander Rosa & Nabil Shalaby. (1991) The fine structure of threefold triple systems: υ ≡ 1 or 3 (mod 6). Discrete Mathematics 92:1-3, pages 49-64.
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Charles J. Colbourn & Ebadollah S. Mahmoodian. (1990) The spectrum of support sizes for threefold triple systems. Discrete Mathematics 83:1, pages 9-19.
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Ralph Z. Roskies & Penny D. Sackett. (1987) High-temperature expansions to fifteenth order. Journal of Statistical Physics 49:3-4, pages 447-490.
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R. D. Cameron, C. J. Colbourn, R. C. Read & N. C. Wormald. (2006) Cataloguing the graphs on 10 vertices. Journal of Graph Theory 9:4, pages 551-562.
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Martenc Jones Colbourn. 1985. Annals of Discrete Mathematics (26): Algorithms in Combinatorial Design Theory. Annals of Discrete Mathematics (26): Algorithms in Combinatorial Design Theory 67 136 .
Milan Randić & Michael I. Davis. (2004) Symmetry properties of chemical graphs. VI. Isomerizations of octahedral complexes. International Journal of Quantum Chemistry 26:1, pages 69-89.
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Ronald C. Read. 1981. Combinatorial Mathematics VIII. Combinatorial Mathematics VIII 77 89 .

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