Publications - Published papers

Please find below publications of our group. Currently, we list 563 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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Minimum cycle bases of lexicographic products

Marc Hellmuth, Philipp-Jens Ostermeier, Peter F. Stadler


PREPRINT 12-029: [ PDF ]

Status: Published

Ars Math. Comptemp. 5:219–230 (2012)


Minimum cycle bases of product graphs can in most situations be constructedfrom minimum cycle bases of the factors together with a suitable collectionof triangles and/or quadrangles determined by the product operation. Herewe give an explicit construction for the lexicographic product G o H that generalizes results by Berger and Jaradat to the case that H is notconnected.


Cycle space, Cycle basis, lexicographic product