{"_id":{"_str":"536dfff04c6bdacb280007dc"},"__v":1,"authorIDs":[],"author_short":["Dohmen, K."],"bibbaseid":"dohmen-closedformexpansionsfortheuniversaledgeeliminationpolynomial-2014","bibdata":{"downloads":0,"keyword":["graph polynomial","chromatic polynomial","matching polynomial","covered components polynomial","edge elimination","generating function","path","cycle","closed-form"],"bibbaseid":"dohmen-closedformexpansionsfortheuniversaledgeeliminationpolynomial-2014","urls":{},"role":"author","abstract":"We establish closed-form expansions for the universal edge elimination polynomial of paths and cycles and their generating functions. This includes closed-form expansions for the covered components polynomial, the bivariate chromatic polynomial, and the bivariate matching polynomial","author":["Dohmen, Klaus"],"author_short":["Dohmen, K."],"bibtex":"@misc{ Dohmen:2014:CFU,\n author = {Klaus Dohmen},\n title = {Closed-form Expansions for the Universal Edge Elimination\n Polynomial},\n pubstate = {Submitted for publication},\n year = {2014},\n month = {March},\n eprinttype = {arXiv},\n eprint = {1403.0969},\n eprintclass = {math-CO},\n abstract = {We establish closed-form expansions for the universal edge\n elimination polynomial of paths and cycles and their\n generating functions. This includes closed-form expansions\n for the covered components polynomial, the bivariate\n chromatic polynomial, and the bivariate matching polynomial},\n keywords = {graph polynomial, chromatic polynomial, matching polynomial,\n covered components polynomial, edge elimination, generating\n function, path, cycle, closed-form}\n}","bibtype":"misc","eprint":"1403.0969","eprintclass":"math-CO","eprinttype":"arXiv","id":"Dohmen:2014:CFU","key":"Dohmen:2014:CFU","keywords":"graph polynomial, chromatic polynomial, matching polynomial, covered components polynomial, edge elimination, generating function, path, cycle, closed-form","month":"March","pubstate":"Submitted for publication","title":"Closed-form Expansions for the Universal Edge Elimination Polynomial","type":"misc","year":"2014"},"bibtype":"misc","biburl":"https://www.mni.hs-mittweida.de/fileadmin/verzeichnisfreigaben/dohmen/Publikationen/Dohmen.bib","downloads":0,"keywords":["graph polynomial","chromatic polynomial","matching polynomial","covered components polynomial","edge elimination","generating function","path","cycle","closed-form"],"search_terms":["closed","form","expansions","universal","edge","elimination","polynomial","dohmen"],"title":"Closed-form Expansions for the Universal Edge Elimination Polynomial","year":2014,"dataSources":["QAQCDmtGHsz8zZBdf"]}