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Volumn , Issue , 2009, Pages 1-22

Entropy, Orbits, and Spectra of Graphs

Author keywords

Entropy; Orbits; Spectra of graphs; Structural complexity

Indexed keywords


EID: 76849087642     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1002/9783527627981.ch1     Document Type: Chapter
Times cited : (22)

References (27)
  • 1
    • 84889805520 scopus 로고    scopus 로고
    • Algebra and Computation
    • Lecture notes (transcribed by Ramprasad Saptharishi), last viewed 5-30
    • Arvind, V. Algebra and Computation. Lecture notes (transcribed by Ramprasad Saptharishi), 2007. http://www.cmi.ac.in/~ramprasad/lecturenotes/algcomp/tillnow.pdf, last viewed 5-30-2008.
    • (2007)
    • Arvind, V.1
  • 3
    • 0004242420 scopus 로고
    • Algebraic Graph Theory
    • Cambridge University Press, Cambridge
    • Biggs, N.L. Algebraic Graph Theory. Cambridge University Press, Cambridge, 1993.
    • (1993)
    • Biggs, N.L.1
  • 4
    • 0035648637 scopus 로고    scopus 로고
    • A faster algorithm for betweenness centrality
    • Brandes, U. A faster algorithm for betweenness centrality. J. Math. Sociol. 25 (2001), pp. 163-177.
    • (2001) J. Math. Sociol , vol.25 , pp. 163-177
    • Brandes, U.1
  • 5
    • 49649147747 scopus 로고
    • A note on the eigenvalues of a graph
    • Chao, C.C. A note on the eigenvalues of a graph. J. Combinator. Theory (Series B) 10 (1971), pp. 301-302.
    • (1971) J. Combinator. Theory (Series B) , vol.10 , pp. 301-302
    • Chao, C.C.1
  • 7
    • 0348161673 scopus 로고
    • Calculating Role Similarities: An Algorithm that helps determine the Orbits of Graph
    • Everett, M. G., and Borgatti, S. Calculating Role Similarities: An Algorithm that helps determine the Orbits of Graph. Social Networks 10 (1988), pp. 77-91.
    • (1988) Social Networks , vol.10 , pp. 77-91
    • Everett, M.G.1    Borgatti, S.2
  • 8
    • 84865730611 scopus 로고
    • A set of measures of centrality based on betweenness
    • Freeman, L. C. A set of measures of centrality based on betweenness. Sociometry 40 (1977), pp. 35-41.
    • (1977) Sociometry , vol.40 , pp. 35-41
    • Freeman, L.C.1
  • 9
    • 0007265820 scopus 로고
    • Eccentricity and centrality in networks
    • Hage, P. and Harary, F. Eccentricity and centrality in networks. Social Networks 17 (1995), pp. 57-63.
    • (1995) Social Networks , vol.17 , pp. 57-63
    • Hage, P.1    Harary, F.2
  • 10
    • 0003851540 scopus 로고
    • Mathematical Foundations of Information Theory
    • Dover Publications, New York
    • Khinchin, A.I. Mathematical Foundations of Information Theory. Dover Publications, New York, 1957.
    • (1957)
    • Khinchin, A.I.1
  • 11
    • 0002532088 scopus 로고
    • Coding of an information source having ambiguous alphabet and the entropy of graphs
    • Transactions of Prague Conference on Information Theory, Statistical Decision Functions, Random Processes
    • Korner, J. Coding of an information source having ambiguous alphabet and the entropy of graphs. Transactions of Prague Conference on Information Theory, Statistical Decision Functions, Random Processes. (1971), pp. 411-425.
    • (1971) , pp. 411-425
    • Korner, J.1
  • 12
    • 85048166722 scopus 로고    scopus 로고
    • Topics in Graph Automorphisms and Reconstruction
    • Cambridge University Press, Cambridge
    • Lauri, J. and Scapellato, R. Topics in Graph Automorphisms and Reconstruction. Cambridge University Press, Cambridge, 2003.
    • (2003)
    • Lauri, J.1    Scapellato, R.2
  • 13
    • 0014257683 scopus 로고
    • Entropy and the complexity of graphs: I. An index of the relative complexity of a graph
    • Mowshowitz, A. Entropy and the complexity of graphs: I. An index of the relative complexity of a graph. Bull. Math. Biophys. 30 (1968), pp. 175-204.
    • (1968) Bull. Math. Biophys , vol.30 , pp. 175-204
    • Mowshowitz, A.1
  • 14
    • 0014296467 scopus 로고
    • Entropy and the complexity of graphs: II. The information content of digraphs and infinite graphs
    • Mowshowitz, A. Entropy and the complexity of graphs: II. The information content of digraphs and infinite graphs. Bulletin of Mathematical Biophysics 30 (1968), pp. 225-240.
    • (1968) Bulletin of Mathematical Biophysics , vol.30 , pp. 225-240
    • Mowshowitz, A.1
  • 15
    • 51249190020 scopus 로고
    • Entropy and the complexity of graphs: III. Graphs with prescribed information content
    • Mowshowitz, A. Entropy and the complexity of graphs: III. Graphs with prescribed information content. Bull. Math. Biophys. 30 (1968), pp. 387-414.
    • (1968) Bull. Math. Biophys , vol.30 , pp. 387-414
    • Mowshowitz, A.1
  • 16
    • 51249189854 scopus 로고
    • Entropy and the complexity of graphs: IV. Entropy measures and graphical structure
    • Mowshowitz, A. Entropy and the complexity of graphs: IV. Entropy measures and graphical structure. Bull. Math. Biophys. 30 (1968), pp. 533-546.
    • (1968) Bull. Math. Biophys , vol.30 , pp. 533-546
    • Mowshowitz, A.1
  • 17
    • 33845808731 scopus 로고
    • The group of a graph whose adjacency matrix has all distinct eigenvalues
    • In F. Harary, editor, Academic Press, New York
    • Mowshowitz, A. The group of a graph whose adjacency matrix has all distinct eigenvalues. In F. Harary, editor, Proof Techniques in Graph Theory, pp. 109-110. Academic Press, New York, 1969.
    • (1969) Proof Techniques in Graph Theory , pp. 109-110
    • Mowshowitz, A.1
  • 20
    • 84889797429 scopus 로고    scopus 로고
    • A cost efficient approach for finding the orbits to calculate the Entropy of a graph
    • Project Presentation, Department of Computer Science, The City College of New York, Spring
    • Papireddy, Y.S. A cost efficient approach for finding the orbits to calculate the Entropy of a graph. Project Presentation, Department of Computer Science, The City College of New York, Spring 2007.
    • (2007)
    • Papireddy, Y.S.1
  • 21
    • 51649200028 scopus 로고
    • Life, information theory, and topology
    • Rashevsky, N. Life, information theory, and topology. Bull. Math. Biophys. 17 (1955), pp. 229-235.
    • (1955) Bull. Math. Biophys , vol.17 , pp. 229-235
    • Rashevsky, N.1
  • 22
    • 0013987194 scopus 로고
    • The centrality index of a graph
    • Sabidussi, G. The centrality index of a graph. Psychometrika 31 (1966), pp. 581-603.
    • (1966) Psychometrika , vol.31 , pp. 581-603
    • Sabidussi, G.1
  • 23
    • 51249195602 scopus 로고
    • Structural parameters of communication networks
    • Shimbel, A. Structural parameters of communication networks. Bull. Math. Biophys. 15 (1953), pp. 501-507.
    • (1953) Bull. Math. Biophys , vol.15 , pp. 501-507
    • Shimbel, A.1
  • 24
    • 0001006010 scopus 로고
    • Graph entropy: a survey
    • In W. Cook and L. Lovasz, editors, DIMACS: Series in Discrete Mathematics and Theoretical Computer Science
    • Simonyi, G. Graph entropy: a survey. In W. Cook and L. Lovasz, editors, Combinatorial Optimization. DIMACS: Series in Discrete Mathematics and Theoretical Computer Science, 1995.
    • (1995) Combinatorial Optimization
    • Simonyi, G.1
  • 25
    • 85010384444 scopus 로고
    • On Growth and Form
    • (abridged version edited by J.T. Bonner). Cambridge University Press, Cambridge
    • Thompson, D.W. On Growth and Form (abridged version edited by J.T. Bonner). Cambridge University Press, Cambridge, 1961.
    • (1961)
    • Thompson, D.W.1
  • 26
    • 51649221175 scopus 로고
    • A note on the information content of graphs
    • Trucco, E. A note on the information content of graphs. Bull. Math. Biophys. 18 (1956), pp. 129-135.
    • (1956) Bull. Math. Biophys , vol.18 , pp. 129-135
    • Trucco, E.1
  • 27
    • 84889821116 scopus 로고    scopus 로고
    • Kolmogorov complexity
    • Wikepedia, last viewed 5-28-
    • Wikepedia. Kolmogorov complexity. http://en.wikipedia.org/wiki/Kolmogorov_complexity, last viewed 5-28-2008.
    • (2008)


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.