{"Affiliation":[{"label":"Affiliation","value":"Non UBC","attrs":{"lang":"en","ns":"http:\/\/vivoweb.org\/ontology\/core#departmentOrSchool","classmap":"vivo:EducationalProcess","property":"vivo:departmentOrSchool"},"iri":"http:\/\/vivoweb.org\/ontology\/core#departmentOrSchool","explain":"VIVO-ISF Ontology V1.6 Property; The department or school name within institution; Not intended to be an institution name."}],"AggregatedSourceRepository":[{"label":"AggregatedSourceRepository","value":"DSpace","attrs":{"lang":"en","ns":"http:\/\/www.europeana.eu\/schemas\/edm\/dataProvider","classmap":"ore:Aggregation","property":"edm:dataProvider"},"iri":"http:\/\/www.europeana.eu\/schemas\/edm\/dataProvider","explain":"A Europeana Data Model Property; The name or identifier of the organization who contributes data indirectly to an aggregation service (e.g. Europeana)"}],"Creator":[{"label":"Creator","value":"Hartman, David","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/creator","classmap":"dpla:SourceResource","property":"dcterms:creator"},"iri":"http:\/\/purl.org\/dc\/terms\/creator","explain":"A Dublin Core Terms Property; An entity primarily responsible for making the resource.; Examples of a Contributor include a person, an organization, or a service."}],"DateAvailable":[{"label":"DateAvailable","value":"2019-05-20T08:16:35Z","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/issued","classmap":"edm:WebResource","property":"dcterms:issued"},"iri":"http:\/\/purl.org\/dc\/terms\/issued","explain":"A Dublin Core Terms Property; Date of formal issuance (e.g., publication) of the resource."}],"DateIssued":[{"label":"DateIssued","value":"2018-11-20T15:29","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/issued","classmap":"oc:SourceResource","property":"dcterms:issued"},"iri":"http:\/\/purl.org\/dc\/terms\/issued","explain":"A Dublin Core Terms Property; Date of formal issuance (e.g., publication) of the resource."}],"Description":[{"label":"Description","value":"This talk provides a story of equality of homomorphism-homogeneous classes. Cameron and Nesetril [1] suggested a novel notion of homomorphism-homogeneity for relational structure that requires every local homomorphism between finite induced substructures extends to homomorphism to the whole structure extending thus a classical notion of ultrahomogeneity in sense of Fraisse. Depending on types of local homomorphism as well as the extending one it is possible to define various types of homomorphism-homogeneity, e.g. monomorphism-homogeneity extending local monomorphism to homomorphism. Mentioned work was an onset of wide classification program attempting to describe corresponding homogeneity classes. Already in this work there was a question about equality of classes HH and MH which was answered by Rusinov and Schweitzer 4 years later for countable undirected grahs. Later, with Hubicka and Masulovic [3] we studied L-colored graphs, graphs having their edges as well as vertices colored by partial ordered set L, and showed conditions under which classes HH and MH are equal for finite L-colored graphs. We extend this result by considering countably infinite P,Q-colored graphs, graphs coloring vertices and edges by two different partially ordered sets P and Q, and showed that necessary as well as suffcient condition for equality of classes MH and HH is that Q is a linear order [4].\n
Joint work with Andres Aranda.\n
[1] P. J. Cameron, J. Nesetril (2006), Homomorphism-homogeneous relational\nstructures, Combinatorics, probability and computing 15(1-2): 91{103.\n
[2] M. Rusinov, P. Schweitzer (2010), Homomorphismhomogeneous graphs, Journal of Graph Theory 65(3):253{262.\n
[3] D. Hartman, J. Hubicka, D. Masulovic (2014) Homomorphism-homogeneous\nL-colored graphs, European Journal of Combinatorics 35: 313{32.\n
[4] A. Aranda, D. Hartman (2018), Morphism extension classes of countable L-colored graphs. Preprint at arXiv:1805.01781.","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/description","classmap":"dpla:SourceResource","property":"dcterms:description"},"iri":"http:\/\/purl.org\/dc\/terms\/description","explain":"A Dublin Core Terms Property; An account of the resource.; Description may include but is not limited to: an abstract, a table of contents, a graphical representation, or a free-text account of the resource."}],"DigitalResourceOriginalRecord":[{"label":"DigitalResourceOriginalRecord","value":"https:\/\/circle.library.ubc.ca\/rest\/handle\/2429\/70206?expand=metadata","attrs":{"lang":"en","ns":"http:\/\/www.europeana.eu\/schemas\/edm\/aggregatedCHO","classmap":"ore:Aggregation","property":"edm:aggregatedCHO"},"iri":"http:\/\/www.europeana.eu\/schemas\/edm\/aggregatedCHO","explain":"A Europeana Data Model Property; The identifier of the source object, e.g. the Mona Lisa itself. 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There is no restriction on the nature of this information, e.g., it could be plain text, hypertext, or an image; it could be a definition, information about the scope of a concept, editorial information, or any other type of information."}],"IsShownAt":[{"label":"IsShownAt","value":"10.14288\/1.0378859","attrs":{"lang":"en","ns":"http:\/\/www.europeana.eu\/schemas\/edm\/isShownAt","classmap":"edm:WebResource","property":"edm:isShownAt"},"iri":"http:\/\/www.europeana.eu\/schemas\/edm\/isShownAt","explain":"A Europeana Data Model Property; An unambiguous URL reference to the digital object on the provider\u2019s website in its full information context."}],"Language":[{"label":"Language","value":"eng","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/language","classmap":"dpla:SourceResource","property":"dcterms:language"},"iri":"http:\/\/purl.org\/dc\/terms\/language","explain":"A Dublin Core Terms Property; A language of the resource.; Recommended best practice is to use a controlled vocabulary such as RFC 4646 [RFC4646]."}],"Notes":[{"label":"Notes","value":"Author affiliation: Charles University in Prague","attrs":{"lang":"en","ns":"http:\/\/www.w3.org\/2009\/08\/skos-reference\/skos.html#note","classmap":"skos:Concept","property":"skos:note"},"iri":"http:\/\/www.w3.org\/2009\/08\/skos-reference\/skos.html#note","explain":"Simple Knowledge Organisation System; Notes are used to provide information relating to SKOS concepts. There is no restriction on the nature of this information, e.g., it could be plain text, hypertext, or an image; it could be a definition, information about the scope of a concept, editorial information, or any other type of information."}],"PeerReviewStatus":[{"label":"PeerReviewStatus","value":"Unreviewed","attrs":{"lang":"en","ns":"https:\/\/open.library.ubc.ca\/terms#peerReviewStatus","classmap":"oc:PublicationDescription","property":"oc:peerReviewStatus"},"iri":"https:\/\/open.library.ubc.ca\/terms#peerReviewStatus","explain":"UBC Open Collections Metadata Components; Local Field; Identifies whether or not the resource is peer-reviewed. Applies to published resources only."}],"Provider":[{"label":"Provider","value":"Vancouver : University of British Columbia Library","attrs":{"lang":"en","ns":"http:\/\/www.europeana.eu\/schemas\/edm\/provider","classmap":"ore:Aggregation","property":"edm:provider"},"iri":"http:\/\/www.europeana.eu\/schemas\/edm\/provider","explain":"A Europeana Data Model Property; The name or identifier of the organization who delivers data directly to an aggregation service (e.g. Europeana)"}],"Publisher":[{"label":"Publisher","value":"Banff International Research Station for Mathematical Innovation and Discovery","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/publisher","classmap":"dpla:SourceResource","property":"dcterms:publisher"},"iri":"http:\/\/purl.org\/dc\/terms\/publisher","explain":"A Dublin Core Terms Property; An entity responsible for making the resource available.; Examples of a Publisher include a person, an organization, or a service."}],"Rights":[{"label":"Rights","value":"Attribution-NonCommercial-NoDerivatives 4.0 International","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/rights","classmap":"edm:WebResource","property":"dcterms:rights"},"iri":"http:\/\/purl.org\/dc\/terms\/rights","explain":"A Dublin Core Terms Property; Information about rights held in and over the resource.; Typically, rights information includes a statement about various property rights associated with the resource, including intellectual property rights."}],"RightsURI":[{"label":"RightsURI","value":"http:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/","attrs":{"lang":"en","ns":"https:\/\/open.library.ubc.ca\/terms#rightsURI","classmap":"oc:PublicationDescription","property":"oc:rightsURI"},"iri":"https:\/\/open.library.ubc.ca\/terms#rightsURI","explain":"UBC Open Collections Metadata Components; Local Field; Indicates the Creative Commons license url."}],"ScholarlyLevel":[{"label":"ScholarlyLevel","value":"Researcher","attrs":{"lang":"en","ns":"https:\/\/open.library.ubc.ca\/terms#scholarLevel","classmap":"oc:PublicationDescription","property":"oc:scholarLevel"},"iri":"https:\/\/open.library.ubc.ca\/terms#scholarLevel","explain":"UBC Open Collections Metadata Components; Local Field; Identifies the scholarly level of the author(s)\/creator(s)."}],"Series":[{"label":"Series","value":"BIRS Workshop Lecture Videos (Banff, Alta)","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/isPartOf","classmap":"oc:PublicationDescription","property":"dcterms:isPartOf"},"iri":"http:\/\/purl.org\/dc\/terms\/isPartOf","explain":"A Dublin Core Terms Property; A related resource in which the described resource is physically or logically included."}],"Subject":[{"label":"Subject","value":"Mathematics","attrs":{"lang":"en","ns":"http:\/\/purl.org\/dc\/terms\/subject","classmap":"dpla:SourceResource","property":"dcterms:subject"},"iri":"http:\/\/purl.org\/dc\/terms\/subject","explain":"A Dublin Core Terms Property; The topic of the resource.; Typically, the subject will be represented using keywords, key phrases, or classification codes. 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