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@inproceedings{693907, author = {Hliněný, Petr}, address = {Berlin}, booktitle = {31st International Symposium, MFCS 2006}, edition = {4162}, keywords = {crossing number; crossing minimization; planarization; crossing-critical graphs}, language = {eng}, location = {Berlin}, isbn = {3-540-37791-3}, pages = {505-516}, publisher = {Springer Verlag}, title = {On Matroid Representability and Minor Problems}, url = {http://www.mfcs.sk/mfcs2006/}, year = {2006} }
TY - JOUR ID - 693907 AU - Hliněný, Petr PY - 2006 TI - On Matroid Representability and Minor Problems PB - Springer Verlag CY - Berlin SN - 3540377913 KW - crossing number KW - crossing minimization KW - planarization KW - crossing-critical graphs UR - http://www.mfcs.sk/mfcs2006/ N2 - In this paper we look at complexity aspects of the following problem (matroid representability) which seems to play an important role in structural matroid theory: Given a rational matrix representing the matroid $M$, the question is whether $M$ can be represented also over another specific finite field. We prove this problem is hard, and so is the related problem of minor testing in rational matroids. The results hold even if we restrict to matroids of branch-width three. ER -
HLINĚNÝ, Petr. On Matroid Representability and Minor Problems. In \textit{31st International Symposium, MFCS 2006}. 4162nd ed. Berlin: Springer Verlag, 2006, p.~505-516. ISBN~3-540-37791-3.
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