{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T00:49:28Z","timestamp":1740098968698,"version":"3.37.3"},"publisher-location":"Cham","reference-count":18,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319718262"},{"type":"electronic","value":"9783319718279"}],"license":[{"start":{"date-parts":[[2017,1,1]],"date-time":"2017-01-01T00:00:00Z","timestamp":1483228800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2017]]},"DOI":"10.1007\/978-3-319-71827-9_16","type":"book-chapter","created":{"date-parts":[[2017,11,17]],"date-time":"2017-11-17T08:43:07Z","timestamp":1510908187000},"page":"215-226","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Hamiltonian Graphs as Harmonic Tools"],"prefix":"10.1007","author":[{"given":"Giovanni","family":"Albini","sequence":"first","affiliation":[]},{"given":"Marco Paolo","family":"Bernardi","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2017,11,18]]},"reference":[{"key":"16_CR1","series-title":"Communications in Computer and Information Science","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/978-3-642-02394-1_1","volume-title":"MCM 2009","author":"G Albini","year":"2009","unstructured":"Albini, G., Antonini, S.: Hamiltonian cycles in the topological dual of the Tonnetz. In: Chew, E., Childs, A., Chuan, C.H. (eds.) MCM 2009. Communications in Computer and Information Science, vol. 38, pp. 1\u201310. Springer, Heidelberg (2009). \nhttps:\/\/doi.org\/10.1007\/978-3-642-02394-1_1"},{"key":"16_CR2","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"326","DOI":"10.1007\/978-3-642-21590-2_25","volume-title":"Mathematics and Computation in Music","author":"G Baroin","year":"2011","unstructured":"Baroin, G.: The planet-4D model: an original hypersymmetric music space based on graph theory. In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds.) MCM 2011. LNCS (LNAI), vol. 6726, pp. 326\u2013329. Springer, Heidelberg (2011). \nhttps:\/\/doi.org\/10.1007\/978-3-642-21590-2_25"},{"key":"16_CR3","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"13","DOI":"10.1007\/978-3-642-21590-2_2","volume-title":"Mathematics and Computation in Music","author":"L Bigo","year":"2011","unstructured":"Bigo, L., Giavitto, J.-L., Spicher, A.: Building topological spaces for musical objects. In: Agon, C., Andreatta, M., Assayag, G., Amiot, E., Bresson, J., Mandereau, J. (eds.) MCM 2011. LNCS (LNAI), vol. 6726, pp. 13\u201328. Springer, Heidelberg (2011). \nhttps:\/\/doi.org\/10.1007\/978-3-642-21590-2_2"},{"key":"16_CR4","series-title":"Lecture Notes in Computer Science (Lecture Notes in Artificial Intelligence)","doi-asserted-by":"publisher","first-page":"38","DOI":"10.1007\/978-3-642-39357-0_3","volume-title":"Mathematics and Computation in Music","author":"L Bigo","year":"2013","unstructured":"Bigo, L., Andreatta, M., Giavitto, J.-L., Michel, O., Spicher, A.: Computation and visualization of musical structures in chord-based simplicial complexes. In: Yust, J., Wild, J., Burgoyne, J.A. (eds.) MCM 2013. LNCS (LNAI), vol. 7937, pp. 38\u201351. Springer, Heidelberg (2013). \nhttps:\/\/doi.org\/10.1007\/978-3-642-39357-0_3"},{"key":"16_CR5","doi-asserted-by":"crossref","first-page":"69","DOI":"10.1112\/plms\/s3-2.1.69","volume":"2","author":"GA Dirac","year":"1952","unstructured":"Dirac, G.A.: Some theorems on abstract graphs. Proc. Lond. Math. Soc. 2, 69\u201381 (1952)","journal-title":"Proc. Lond. Math. Soc."},{"issue":"2","key":"16_CR6","doi-asserted-by":"crossref","first-page":"241","DOI":"10.2307\/843877","volume":"42","author":"J Douthett","year":"1998","unstructured":"Douthett, J., Steinbach, P.: Parsimonious graphs: a study in parsimony, contextual transformations, and modes of limited transposition. J. Music Theor. 42(2), 241\u201363 (1998)","journal-title":"J. Music Theor."},{"key":"16_CR7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-0163-9","volume-title":"Algebraic Graph Theory","author":"C Godsil","year":"2001","unstructured":"Godsil, C., Royle, G.: Algebraic Graph Theory. Springer, New York (2001). \nhttps:\/\/doi.org\/10.1007\/978-1-4613-0163-9"},{"issue":"2","key":"16_CR8","doi-asserted-by":"crossref","first-page":"121","DOI":"10.1002\/jgt.3190150204","volume":"15","author":"RJ Gould","year":"1991","unstructured":"Gould, R.J.: Updating the Hamiltonian problem - a survey. J. Graph Theor. 15(2), 121\u2013157 (1991)","journal-title":"J. Graph Theor."},{"key":"16_CR9","volume-title":"Advances on the Hamiltonian Problem - A Survey","author":"RJ Gould","year":"2002","unstructured":"Gould, R.J.: Advances on the Hamiltonian Problem - A Survey. Emory University, Atlanta (2002)"},{"issue":"1","key":"16_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s00373-013-1377-x","volume":"30","author":"RJ Gould","year":"2014","unstructured":"Gould, R.J.: Recent advances on the Hamiltonian problem: survey III. Graphs Comb. 30(1), 1\u201346 (2014)","journal-title":"Graphs Comb."},{"key":"16_CR11","doi-asserted-by":"crossref","DOI":"10.21236\/AD0705364","volume-title":"Graph Theory","author":"F Harary","year":"1969","unstructured":"Harary, F.: Graph Theory. Addison-Wesley Publishing Company, Reading (1969)"},{"key":"16_CR12","unstructured":"Heus, A.: A study of necessary and sufficient conditions for vertex transitive graphs to be Hamiltonian. Master\u2019s thesis, University of Amsterdam (2008)"},{"key":"16_CR13","volume-title":"Arvo P\u00e4rt","author":"P Hiller","year":"1997","unstructured":"Hiller, P.: Arvo P\u00e4rt. Clarendon Press, Oxford (1997)"},{"key":"16_CR14","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1007\/978-1-4684-2001-2_9","volume-title":"Complexity of Computer Computations","author":"RM Karp","year":"1972","unstructured":"Karp, R.M.: Reducibility among combinatorial problems. In: Miller, R.E., Thatcher, J.W. (eds.) Complexity of Computer Computations, pp. 85\u2013103. Plenum, New York (1972)"},{"key":"16_CR15","volume-title":"Generalized Musical Intervals and Transformations","author":"D Lewin","year":"1987","unstructured":"Lewin, D.: Generalized Musical Intervals and Transformations. Yale University Press, New Haven (1987)"},{"key":"16_CR16","doi-asserted-by":"crossref","first-page":"55","DOI":"10.2307\/2308928","volume":"67","author":"O Ore","year":"1960","unstructured":"Ore, O.: A note on Hamiltonian circuits. Am. Math. Mon. 67, 55 (1960)","journal-title":"Am. Math. Mon."},{"key":"16_CR17","volume-title":"A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice","author":"D Tymoczko","year":"2011","unstructured":"Tymoczko, D.: A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. Oxford University Press, Oxford (2011)"},{"key":"16_CR18","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1016\/0012-365X(84)90010-4","volume":"51","author":"DS Witte","year":"1984","unstructured":"Witte, D.S., Gallian, J.A.: A survey: Hamiltonian cycles in Cayley graphs. Discrete Math. 51, 293\u2013304 (1984)","journal-title":"Discrete Math."}],"container-title":["Lecture Notes in Computer Science","Mathematics and Computation in Music"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-71827-9_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,11,17]],"date-time":"2017-11-17T08:46:43Z","timestamp":1510908403000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-71827-9_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017]]},"ISBN":["9783319718262","9783319718279"],"references-count":18,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-71827-9_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2017]]}}}