{"id":"https://openalex.org/W2155238182","doi":"https://doi.org/10.1109/isit.2010.5513594","title":"Connecting the Bethe entropy and the edge zeta function of a cycle code","display_name":"Connecting the Bethe entropy and the edge zeta function of a cycle code","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2155238182","doi":"https://doi.org/10.1109/isit.2010.5513594","mag":"2155238182"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028154201","display_name":"Pascal O. Vontobel","orcid":"https://orcid.org/0000-0002-6180-258X"},"institutions":[{"id":"https://openalex.org/I1324840837","display_name":"Hewlett-Packard (United States)","ror":"https://ror.org/059rn9488","country_code":"US","type":"company","lineage":["https://openalex.org/I1324840837"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Pascal O. Vontobel","raw_affiliation_strings":["Hewlett Packard Laboratories, Palo Alto, CA, USA"],"affiliations":[{"raw_affiliation_string":"Hewlett Packard Laboratories, Palo Alto, CA, USA","institution_ids":["https://openalex.org/I1324840837"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028154201"],"corresponding_institution_ids":["https://openalex.org/I1324840837"],"apc_list":null,"apc_paid":null,"fwci":3.5612,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.93338849,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"704","last_page":"708"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9973999857902527,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6371445655822754},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5945183634757996},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.485359787940979},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3946002721786499},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32257622480392456},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.24514415860176086},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15488013625144958},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.11936771869659424}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6371445655822754},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5945183634757996},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.485359787940979},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3946002721786499},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32257622480392456},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.24514415860176086},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15488013625144958},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.11936771869659424},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2010.5513594","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513594","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1484743436","https://openalex.org/W1523808012","https://openalex.org/W1588943481","https://openalex.org/W1974000719","https://openalex.org/W2033546746","https://openalex.org/W2035309551","https://openalex.org/W2049433041","https://openalex.org/W2067554595","https://openalex.org/W2109454961","https://openalex.org/W2120340025","https://openalex.org/W2133068391","https://openalex.org/W2139584447","https://openalex.org/W2149671232","https://openalex.org/W2155238182","https://openalex.org/W2169134868","https://openalex.org/W2169415915","https://openalex.org/W2962897197","https://openalex.org/W2963389401","https://openalex.org/W4213281018","https://openalex.org/W4251636534","https://openalex.org/W4293052541","https://openalex.org/W6629015709","https://openalex.org/W6635197353","https://openalex.org/W6658471458","https://openalex.org/W6678397451"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W88624181","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2962814632"],"abstract_inverted_index":{"Let":[0],"the":[1,9,13,25,32,41,50,55,61,65,68,72,77,80,87,90,94,97,102,107,122],"induced":[2,42,73],"Bethe":[3,10,27,43,74],"entropy":[4,11,44,75,123],"of":[5,12,31,45,54,71,82,93,96,106,125,141],"a":[6,38,46,83],"pseudo-codeword":[7],"be":[8],"pseudo-marginal":[14],"that,":[15],"among":[16],"all":[17],"pseudo-marginals":[18],"that":[19,99,112,129],"correspond":[20,113],"to":[21,36,114],"this":[22,115,133,135],"pseudo-codeword,":[23,84,134],"has":[24],"maximal":[26],"entropy.":[28],"The":[29],"aim":[30],"present":[33],"paper":[34],"is":[35,119,130],"discuss":[37],"connection":[39,118],"between":[40],"cycle":[47],"code":[48],"and":[49,111],"edge":[51,108],"zeta":[52,109],"function":[53,110],"same":[56],"code.":[57],"Namely,":[58],"we":[59],"show":[60],"equivalence":[62],"of,":[63],"on":[64,86],"one":[66],"hand,":[67,89],"directional":[69],"derivative":[70],"at":[76],"origin":[78],"in":[79,101],"direction":[81],"and,":[85],"other":[88],"growth":[91],"rate":[92,124],"coefficients":[95],"monomials":[98],"appear":[100],"Taylor":[103],"series":[104],"expansion":[105],"pseudo-codeword.":[116],"This":[117],"established":[120],"via":[121],"some":[126],"random":[127,136],"walk":[128,137],"associated":[131],"with":[132],"being":[138],"an":[139],"object":[140],"interest":[142],"by":[143],"itself.":[144]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}