Publications - Published papers

Please find below publications of our group. Currently, we list 500 papers. Some of the publications are in collaboration with the group of Sonja Prohaska and are also listed in the publication list for her individual group. Access to published papers (access) is restricted to our local network and chosen collaborators. If you have problems accessing electronic information, please let us know:

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Relations Between Graphs

Jan Hubička, Jürgen Jost, Yangjing Long and Peter F. Stadler

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Ars Math Contemp 6: 323-350 (2013)

Abstract


Given two graphs <i>G=(V<sub>G</sub>,E<sub>G</sub>)</i> and <i>H=(V_H,E_H)</i>, we ask under which conditions there is a relation <i>R &#8838; V<sub>G</sub>×V<sub>H</sub> that generates the edges of <i>H</i> given the structure of the graph <i>G</i>. This construction can be seen as a form of multihomomorphism. It generalizes surjective homomorphisms of graphs and naturally leads to notions of R-retractions, R-cores, and R-cocores of graphs. Both R-cores and R-cocores of graphs are unique up to isomorphism and can be computed in polynomial time.

Keywords


generalized surjective graph homomorphism, R-reduced graph, R-retraction, binary relation, multihomomorphism, R-core, cocore