{"id":"https://openalex.org/W2117399956","doi":"https://doi.org/10.1007/978-3-642-21286-4_2","title":"High-Ordered Random Walks and Generalized Laplacians on Hypergraphs","display_name":"High-Ordered Random Walks and Generalized Laplacians on Hypergraphs","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2117399956","doi":"https://doi.org/10.1007/978-3-642-21286-4_2","mag":"2117399956"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-21286-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21286-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5036596371","display_name":"Linyuan L\u00fc","orcid":"https://orcid.org/0000-0003-0155-2002"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Linyuan Lu","raw_affiliation_strings":["University of South Carolina, USA"],"affiliations":[{"raw_affiliation_string":"University of South Carolina, USA","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064082253","display_name":"Xing Peng","orcid":"https://orcid.org/0000-0002-6177-3715"},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xing Peng","raw_affiliation_strings":["University of South Carolina, USA"],"affiliations":[{"raw_affiliation_string":"University of South Carolina, USA","institution_ids":["https://openalex.org/I155781252"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5036596371"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.7639,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.98113208,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"14","last_page":"25"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12056","display_name":"Markov Chains and Monte Carlo Methods","score":0.9886000156402588,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9879999756813049,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.6701222658157349},{"id":"https://openalex.org/keywords/random-walk","display_name":"Random walk","score":0.669535756111145},{"id":"https://openalex.org/keywords/spectral-graph-theory","display_name":"Spectral graph theory","score":0.5495754480361938},{"id":"https://openalex.org/keywords/spectral-properties","display_name":"Spectral properties","score":0.4901650846004486},{"id":"https://openalex.org/keywords/mixing","display_name":"Mixing (physics)","score":0.484176903963089},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4739542007446289},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4439029097557068},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4429948627948761},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4025806486606598},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3899874985218048},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.09307509660720825},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07170793414115906},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.060293108224868774}],"concepts":[{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.6701222658157349},{"id":"https://openalex.org/C121194460","wikidata":"https://www.wikidata.org/wiki/Q856741","display_name":"Random walk","level":2,"score":0.669535756111145},{"id":"https://openalex.org/C74003402","wikidata":"https://www.wikidata.org/wiki/Q3180727","display_name":"Spectral graph theory","level":5,"score":0.5495754480361938},{"id":"https://openalex.org/C2985906921","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Spectral properties","level":2,"score":0.4901650846004486},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.484176903963089},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4739542007446289},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4439029097557068},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4429948627948761},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4025806486606598},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3899874985218048},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.09307509660720825},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07170793414115906},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.060293108224868774},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C44870925","wikidata":"https://www.wikidata.org/wiki/Q37547","display_name":"Astrophysics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-21286-4_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-21286-4_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.211.499","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.211.499","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.sc.edu/%7Elu/papers/rwalk.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1512996539","https://openalex.org/W1578099820","https://openalex.org/W1631603072","https://openalex.org/W1969731303","https://openalex.org/W1994818989","https://openalex.org/W2023694370","https://openalex.org/W2053158631","https://openalex.org/W2058699951","https://openalex.org/W2059456505","https://openalex.org/W2069992656","https://openalex.org/W2079810243","https://openalex.org/W2082894877","https://openalex.org/W2099989374","https://openalex.org/W2105714926","https://openalex.org/W2134184632","https://openalex.org/W2140802988","https://openalex.org/W2151436648","https://openalex.org/W2162396328","https://openalex.org/W2167097471","https://openalex.org/W2326953769","https://openalex.org/W2407834012","https://openalex.org/W2951212467","https://openalex.org/W2971268466","https://openalex.org/W2981528317","https://openalex.org/W4230962939","https://openalex.org/W4244050075","https://openalex.org/W6601430172"],"related_works":["https://openalex.org/W1597743604","https://openalex.org/W2038723108","https://openalex.org/W2033630974","https://openalex.org/W2325737604","https://openalex.org/W2740860979","https://openalex.org/W910188119","https://openalex.org/W141001327","https://openalex.org/W88682288","https://openalex.org/W2922963383","https://openalex.org/W2950092949"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}