caa a22 4500 445813725 CHVBK 20180317145219.0 cr unu---uuuuu 170323e20111101xx s 000 0 eng 10.1007/s11083-010-9183-z doi (NATIONALLICENCE)springer-10.1007/s11083-010-9183-z Crown-free Lattices and Their Related Graphs [Elektronische Daten] [François Brucker, Alain Gély] This paper investigates links between some classes of graphs and some classes of lattices. We show that a co-atomic lattice is crown-free (i.e. dismantlable) if and only if it is a maximal clique lattice of a strongly chordal graph. We also prove that each crown-free lattice that is not a chain contains at least two incomparable doubly-irreducible elements x 1 and x 2 such that ↑ x 1 and ↑ x 2 are chains. Springer Science+Business Media B.V., 2010 Dismantlable lattices nationallicence Crown-free lattices nationallicence Strongly chordal graphs nationallicence Brucker François Laboratoire LIF, UMR 6166, Centre de Mathématiques et Informatique, 39 rue Joliot-Curie, 13453, Marseille Cedex 13, France aut Gély Alain LITA—Paul Verlaine University, Ile du Saulcy BP 80794, 57012, Metz cedex, France aut Order Springer Netherlands 28/3(2011-11-01), 443-454 0167-8094 28:3<443 2011 28 11083 https://doi.org/10.1007/s11083-010-9183-z text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11083-010-9183-z text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Brucker François Laboratoire LIF, UMR 6166, Centre de Mathématiques et Informatique, 39 rue Joliot-Curie, 13453, Marseille Cedex 13, France aut NATIONALLICENCE 700 1- Gély Alain LITA—Paul Verlaine University, Ile du Saulcy BP 80794, 57012, Metz cedex, France aut NATIONALLICENCE 773 0- Order Springer Netherlands 28/3(2011-11-01), 443-454 0167-8094 28:3<443 2011 28 11083 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer