caa a22 4500 445855657 CHVBK 20180317145427.0 cr unu---uuuuu 170323e20111001xx s 000 0 eng 10.1007/s00026-011-0112-7 doi (NATIONALLICENCE)springer-10.1007/s00026-011-0112-7 Bonin Joseph Department of Mathematics, The George Washington University, 20052, Washington, D.C., USA aut A Note on the Sticky Matroid Conjecture [Elektronische Daten] [Joseph Bonin] A matroid is sticky if any two of its extensions by disjoint sets can be glued together along the common restriction (that is, they have an amalgam). The sticky matroid conjecture asserts that a matroid is sticky if and only if it is modular. Poljak and Turzík proved that no rank-3 matroid having two disjoint lines is sticky. We show that, for r ≥ 3, no rank−r matroid having two disjoint hyperplanes is sticky. These and earlier results show that the sticky matroid conjecture for finite matroids would follow from a positive resolution of the rank-4 case of a conjecture of Kantor. Springer Basel AG, 2011 sticky matroid conjecture nationallicence bundle condition nationallicence cyclic flat nationallicence Annals of Combinatorics SP Birkhäuser Verlag Basel 15/4(2011-10-01), 619-624 0218-0006 15:4<619 2011 15 26 https://doi.org/10.1007/s00026-011-0112-7 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00026-011-0112-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Bonin Joseph Department of Mathematics, The George Washington University, 20052, Washington, D.C., USA aut NATIONALLICENCE 773 0- Annals of Combinatorics SP Birkhäuser Verlag Basel 15/4(2011-10-01), 619-624 0218-0006 15:4<619 2011 15 26 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer