Dusart, Jérémie; Habib, Michel; Corneil, Derek G. Maximal cliques lattices structures for cocomparability graphs with algorithmic applications. (English) Zbl 07839450 Order 41, No. 1, 99-133 (2024). MSC: 06-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Combe, Camille Geometric realizations of Tamari interval lattices via cubic coordinates. (English) Zbl 07780732 Order 40, No. 3, 589-621 (2023). MSC: 06-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Tenner, Bridget Eileen Interval posets of permutations. (English) Zbl 07605352 Order 39, No. 3, 523-536 (2022). MSC: 06A07 05A05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bergman, George M. A type of algebraic structure related to sets of intervals. (English) Zbl 07605347 Order 39, No. 3, 435-451 (2022). MSC: 06-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernini, Antonio; Cervetti, Matteo; Ferrari, Luca; Steingrímsson, Einar Enumerative combinatorics of intervals in the Dyck pattern poset. (English) Zbl 1484.05015 Order 38, No. 3, 473-487 (2021). Reviewer: Jean-Luc Baril (Dijon) MSC: 05A15 06A07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Schröder, Bernd S. W. The automorphism conjecture for ordered sets of dimension 2 and interval orders. (English) Zbl 1542.06009 Order 38, No. 2, 271-281 (2021). MSC: 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Mureşan, Claudia; Kulin, Júlia On the largest numbers of congruences of finite lattices. (English) Zbl 1456.06005 Order 37, No. 3, 445-460 (2020). Reviewer: Keith Kearnes (Boulder) MSC: 06B10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shuchat, Alan; Shull, Randy; Trenk, Ann N. Tolerance orders of open and closed unit intervals. (English) Zbl 1471.06001 Order 36, No. 2, 313-333 (2019). Reviewer: Geir Agnarsson (Fairfax) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brown, David E.; Flesch, Breeann M.; Langley, Larry J. Interval \(k\)-graphs and orders. (English) Zbl 1406.06002 Order 35, No. 3, 495-514 (2018). Reviewer: Hans Peter Künzi (Rondebosch) MSC: 06A07 05C62 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Jun-Yi; Chang, Fei-Huang; Chen, Hong-Bin; Li, Wei-Tian Families of subsets without a given poset in double chains and Boolean lattices. (English) Zbl 1406.06003 Order 35, No. 2, 349-362 (2018). Reviewer: David B. Penman (Colchester) MSC: 06A07 05D05 06B05 × Cite Format Result Cite Review PDF Full Text: DOI
Joslyn, Cliff; Pogel, Alex; Purvine, Emilie Interval-valued rank in finite ordered sets. (English) Zbl 1414.06002 Order 34, No. 3, 491-512 (2017). Reviewer: Ivan Chajda (Přerov) MSC: 06A06 68T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Schröder, Bernd S. W. The fixed point property for ordered sets of interval dimension 2. (English) Zbl 1385.06001 Order 34, No. 2, 307-322 (2017). Reviewer: S. K. Nimbhorkar (Aurangabad) MSC: 06A06 06A07 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Shuchat, Alan; Shull, Randy; Trenk, Ann N. Unit interval orders of open and closed intervals. (English) Zbl 1342.06002 Order 33, No. 1, 85-99 (2016). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A06 06A07 06-04 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Giarlotta, Alfio A genesis of interval orders and semiorders: transitive NaP-preferences. (English) Zbl 1301.06018 Order 31, No. 2, 239-258 (2014). MSC: 06A75 06A07 91B10 91B14 × Cite Format Result Cite Review PDF Full Text: DOI
Disanto, F.; Pergola, E.; Pinzani, R.; Rinaldi, S. Generation and enumeration of some classes of interval orders. (English) Zbl 1282.06004 Order 30, No. 2, 663-676 (2013). MSC: 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Khamis, Soheir Mohamed Exact counting of unlabeled rigid interval posets regarding or disregarding height. (English) Zbl 1254.06004 Order 29, No. 3, 443-461 (2012). MSC: 06A07 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Jenča, Gejza Extensions of witness mappings. (English) Zbl 1278.03090 Order 29, No. 3, 533-544 (2012). Reviewer: Mirko Navara (Praha) MSC: 03G12 06C15 06F20 81P10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kurilić, Miloš S. Maximal chains in positive subfamilies of \(P(\omega )\). (English) Zbl 1257.06001 Order 29, No. 1, 119-129 (2012). Reviewer: Martin Weese (Potsdam) MSC: 06A06 06A05 06B23 × Cite Format Result Cite Review PDF Full Text: DOI
Zaguia, Imed On the fixed point property for \((3 + 1)\)-free ordered sets. (English) Zbl 1238.06003 Order 28, No. 3, 465-479 (2011). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A06 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Bezhanishvili, Guram; Morandi, Patrick J. Order-compactifications of totally ordered spaces: Revisited. (English) Zbl 1232.54028 Order 28, No. 3, 577-592 (2011). Reviewer: Jorge Picado (Coimbra) MSC: 54F05 54D35 06A05 × Cite Format Result Cite Review PDF Full Text: DOI
Dzhafarov, Damir D. Infinite saturated orders. (English) Zbl 1226.03023 Order 28, No. 2, 163-172 (2011). Reviewer: Jeffry L. Hirst (Boone) MSC: 03B30 03F35 06A06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bouyssou, Denis; Marchant, Thierry Biorders with frontier. (English) Zbl 1225.06004 Order 28, No. 1, 53-87 (2011). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A75 × Cite Format Result Cite Review PDF Full Text: DOI Link
Leblet, Jimmy; Rampon, Jean-Xavier Inductive characterizations of finite interval orders and semiorders. (English) Zbl 1178.06003 Order 26, No. 3, 277-281 (2009). Reviewer: Egbert Harzheim (Köln) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Bosi, Gianni; Gutiérrez García, Javier; Induráin, Esteban Unified representability of total preorders and interval orders through a single function: the lattice approach. (English) Zbl 1172.54023 Order 26, No. 3, 255-275 (2009). Reviewer: Hans Peter Künzi (Rondebosch) MSC: 54F05 × Cite Format Result Cite Review PDF Full Text: DOI
Chajda, Ivan Double basic algebras. (English) Zbl 1173.06002 Order 26, No. 2, 149-162 (2009). Reviewer: Dana Piciu (Craiova) MSC: 06D35 06C15 × Cite Format Result Cite Review PDF Full Text: DOI
Laison, Joshua D. Unit and proper tube orders. (English) Zbl 1158.06002 Order 25, No. 3, 237-242 (2008). Reviewer: Gregory Loren McColm (Tampa) MSC: 06A06 05C62 06A07 52B11 × Cite Format Result Cite Review PDF Full Text: DOI
Baier, Patrick; Bosek, Bartłomiej; Micek, Piotr On-line chain partitioning of up-growing interval orders. (English) Zbl 1126.06001 Order 24, No. 1, 1-13 (2007). MSC: 06A06 06A07 68W40 × Cite Format Result Cite Review PDF Full Text: DOI
Guenver, Glen-Brug; Leblet, Jimmy; Rampon, Jean-Xavier Chain dominated orders. (English) Zbl 1115.06001 Order 23, No. 2-3, 109-127 (2006). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Erné, Marcel Intervals in lattices of \(\kappa\)-meet-closed subsets. (English) Zbl 1084.06005 Order 21, No. 2, 137-153 (2004). MSC: 06B23 06A12 06A15 × Cite Format Result Cite Review PDF Full Text: DOI
Balof, Barry; Bogart, Kenneth Simple inductive proofs of the Fishburn and Mirkin theorem and the Scott-Suppes theorem. (English) Zbl 1031.06001 Order 20, No. 1, 49-51 (2003). Reviewer: J.Rachůnek (Olomouc) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Bosi, Gianni; Candeal, Juan Carlos; Induráin, Esteban; Oloriz, Esteban; Zudaire, Margarita Numerical representations of interval orders. (English) Zbl 0999.06003 Order 18, No. 2, 171-190 (2001). Reviewer: J.Rachůnek (Olomouc) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Reeds, James A.; Fishburn, Peter C. Counting split intervals orders. (English) Zbl 0989.06004 Order 18, No. 2, 129-135 (2001). MSC: 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Baldy, Philippe; Morvan, Michel Heigth preserving minimal interval extensions. (English) Zbl 0992.06003 Order 18, No. 1, 69-77 (2001). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A07 06A06 06D05 × Cite Format Result Cite Review PDF Full Text: DOI
Menon, Venu Totally order-disconnected compact topologies. (English) Zbl 0992.06006 Order 17, No. 4, 391-396 (2000). Reviewer: Hans Peter Künzi (Rondebosch) MSC: 06B30 54F05 06B35 × Cite Format Result Cite Review PDF Full Text: DOI
Niederle, Josef Being a proper trapezoid ordered set is a comparability invariant. (English) Zbl 0973.06003 Order 17, No. 3, 301-308 (2000). Reviewer: J.Rachůnek (Olomouc) MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
LaFollette, Paul S. jun.; Korsh, James F. A loopless algorithm for generation of basic minimal interval orders. (English) Zbl 0968.06003 Order 17, No. 3, 271-285 (2000). MSC: 06A07 68W05 × Cite Format Result Cite Review PDF Full Text: DOI
Myers, Amy Basic interval orders. (English) Zbl 0960.06005 Order 16, No. 3, 261-275 (1999). Reviewer: Renata Majovská (Horní Suchá) MSC: 06A06 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Billera, Louis J.; Myers, Amy N. Shellability of interval orders. (English) Zbl 0930.06003 Order 15, No. 2, 113-117 (1998). Reviewer: V.B.Mnukhin (Norwich) MSC: 06A07 05E99 06A11 52B22 × Cite Format Result Cite Review PDF Full Text: DOI
Ryan, Stephen P. Trapezoid order classification. (English) Zbl 0941.06003 Order 15, No. 4, 341-354 (1998). MSC: 06A06 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bogart, Kenneth P.; Möhring, Rolf H.; Ryan, Stephen P. Proper and unit trapezoid orders and graphs. (English) Zbl 0941.06002 Order 15, No. 4, 325-340 (1998). MSC: 06A06 05C75 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Felsner, Stefan; Gustedt, Jens; Morvan, Michel Interval reductions and extensions of orders: Bijections to chains in lattices. (English) Zbl 0943.06001 Order 15, No. 3, 221-246 (1998). Reviewer: Joseph Neggers (Tuscaloosa) MSC: 06A07 06A06 06B05 × Cite Format Result Cite Review PDF Full Text: DOI
Fishburn, Peter C.; Trotter, William T. Dimensions of split semiorders. (English) Zbl 0904.06004 Order 14, No. 2, 171-178 (1998). MSC: 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Baur, Lynne; Heindorf, Lutz Initial chain algebras on pseudotrees. (English) Zbl 0894.06004 Order 14, No. 1, 21-38 (1997). Reviewer: T.B.Muenzenberger (Manhattan) MSC: 06E05 54F05 × Cite Format Result Cite Review PDF Full Text: DOI
Tanenbaum, Paul J. Simultaneous representation of interval and interval-containment orders. (English) Zbl 0874.06003 Order 13, No. 4, 339-350 (1996). MSC: 06A07 68U05 × Cite Format Result Cite Review PDF Full Text: DOI
Sanchez-Flores, Adolfo A family of \((n-1)!\) diagonal polynomial orders of \(N^ n\). (English) Zbl 0834.06003 Order 12, No. 2, 173-187 (1995). Reviewer: K.Engel (Rostock) MSC: 06A06 03E05 × Cite Format Result Cite Review PDF Full Text: DOI
Wicks, Keith R. Nonstandard analysis of ordered sets. (English) Zbl 0841.03040 Order 12, No. 3, 265-293 (1995). Reviewer: R.A.Herrmann (Annapolis) MSC: 03H05 06A06 06B30 54J05 06B23 06F30 54F05 × Cite Format Result Cite Review PDF Full Text: DOI
Felsner, Stefan 3-interval irreducible partially ordered sets. (English) Zbl 0814.06006 Order 11, No. 2, 97-125 (1994). Reviewer: J.Rachůnek (Olomouc) MSC: 06A07 05C35 × Cite Format Result Cite Review PDF Full Text: DOI
Habib, Michel; Möhring, Rolf H. Treewidth of cocomparability graphs and a new order-theoretic parameter. (English) Zbl 0811.06001 Order 11, No. 1, 47-60 (1994). Reviewer: H.Müller (Jena) MSC: 06A06 05C85 68Q25 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Wagner, David G. Order series of labelled posets. (English) Zbl 0801.06002 Order 10, No. 2, 161-181 (1993). Reviewer: J.Neggers (Tuscaloosa) MSC: 06A07 05A15 05A19 × Cite Format Result Cite Review PDF Full Text: DOI
Habib, Michel; Morvan, Michel; Pouzet, Maurice; Rampon, Jean-Xavier Interval dimension and MacNeille completion. (English) Zbl 0796.06007 Order 10, No. 2, 147-151 (1993). MSC: 06A07 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Bouchitté, Vincent; Jégou, Roland; Rampon, Jean-Xavier Line directionality of orders. (English) Zbl 0791.06004 Order 10, No. 1, 17-30 (1993). Reviewer: R.Majovská (Havířov-Bludovice) MSC: 06A06 52A37 × Cite Format Result Cite Review PDF Full Text: DOI
Koppelberg, Sabine; Monk, J. Donald Pseudo-trees and Boolean algebras. (English) Zbl 0778.06011 Order 8, No. 4, 359-374 (1992). Reviewer: E.Coplakova (Delft) MSC: 06E05 06E99 54F05 × Cite Format Result Cite Review PDF Full Text: DOI
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. II. (English) Zbl 0782.54031 Order 9, No. 2, 177-200 (1992). Reviewer: H.P.Künzi (Bern) MSC: 54E45 54H12 06B30 06B05 × Cite Format Result Cite Review PDF Full Text: DOI
Bouchemakh, Isma; Engel, Konrad Interval stability and interval covering property in finite posets. (English) Zbl 0773.06004 Order 9, No. 2, 163-175 (1992). Reviewer: J.Neggers (Tuscaloosa) MSC: 06A07 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Gustedt, Jens; Morvan, Michel \(N\)-free orders and minimal interval extensions. (English) Zbl 0766.06003 Order 9, No. 3, 291-302 (1992). MSC: 06A06 68Q25 × Cite Format Result Cite Review PDF Full Text: DOI
Bekkali, Mohamed; Bonnet, Robert; Rubin, Matatyahu Compact interval spaces in which all closed subsets are homeomorphic to clopen ones. I. (English) Zbl 0761.54019 Order 9, No. 1, 69-95 (1992). Reviewer: H.P.Künzi (Bern) MSC: 54E45 54H12 06B30 06B05 × Cite Format Result Cite Review PDF Full Text: DOI
Trotter, W. T.; Gehrlein, W. G.; Fishburn, P. C. Balance theorems for height-2 posets. (English) Zbl 0769.06004 Order 9, No. 1, 43-53 (1992). MSC: 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Mitas, Jutta Tackling the jump number of interval orders. (English) Zbl 0737.06003 Order 8, No. 2, 115-132 (1991). MSC: 06A07 68Q25 05C70 05C85 68R10 × Cite Format Result Cite Review PDF Full Text: DOI
Felsner, Stefan A 3/2-approximation algorithm for the jump number of interval orders. (English) Zbl 0709.06001 Order 6, No. 4, 325-334 (1990). Reviewer: L.Skula MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Tschantz, Steven T. Infinite intervals in free lattices. (English) Zbl 0708.06006 Order 6, No. 4, 367-388 (1990). Reviewer: M.F.Janowitz MSC: 06B25 × Cite Format Result Cite Review PDF Full Text: DOI
McKee, Terry A. Upper bound multigraphs for posets. (English) Zbl 0723.05106 Order 6, No. 3, 265-275 (1989). MSC: 05C75 05C99 06A07 × Cite Format Result Cite Review PDF Full Text: DOI
Bayoumi, Bayoumi I.; El-Zahar, Mohamed H.; Khamis, Soheir M. Asymptotic enumeration of N-free partial orders. (English) Zbl 0701.06004 Order 6, No. 3, 219-225 (1989). Reviewer: J.Neggers (Tuscaloosa) MSC: 06A07 05A15 05C30 × Cite Format Result Cite Review PDF Full Text: DOI
Day, Alan; Nation, J. B.; Tschantz, Steve Doubling convex sets in lattices and a generalized semidistributivity condition. (English) Zbl 0695.06005 Order 6, No. 2, 175-180 (1989). Reviewer: G.Eigenthaler MSC: 06B05 06B20 × Cite Format Result Cite Review PDF Full Text: DOI
Koppelberg, Sabine Minimally generated Boolean algebras. (English) Zbl 0676.06019 Order 5, No. 4, 393-406 (1989). Reviewer: J.Roitman MSC: 06E05 54A25 × Cite Format Result Cite Review PDF Full Text: DOI
Fishburn, P. C. Interval orders and circle orders. (English) Zbl 0663.06003 Order 5, No. 3, 225-234 (1988). Reviewer: J.Niederle MSC: 06A06 × Cite Format Result Cite Review PDF Full Text: DOI
Ghazal, Tashin; Sharary, Ahmad; Zaguia, Nejib On minimizing the jump number for interval orders. (English) Zbl 0658.06001 Order 4, No. 4, 341-350 (1988). Reviewer: J.Neggers (Tuscaloosa) MSC: 06A06 68Q25 05C99 × Cite Format Result Cite Review PDF Full Text: DOI
Bonnet, Robert; Si-Kaddour, Hamza Comparison of Boolean algebras. (English) Zbl 0642.04003 Order 4, No. 1-3, 273-283 (1987). Reviewer: T.Jech MSC: 03E05 06E15 × Cite Format Result Cite Review PDF Full Text: DOI
Haxell, P. E.; McDonald, J. J.; Thomason, S. K. Counting interval orders. (English) Zbl 0637.06002 Order 4, No. 1-3, 269-272 (1987). Reviewer: M.Stern MSC: 06A06 06-04 05A15 × Cite Format Result Cite Review PDF Full Text: DOI
Trotter, William T.; Winkler, Peter Arithmetic progressions in partially ordered sets. (English) Zbl 0629.06005 Order 4, No. 1-3, 37-42 (1987). Reviewer: U.Kalulaid MSC: 06A06 11B25 05C55 × Cite Format Result Cite Review PDF
Scott, Debra D. Posets with interval upper bound graphs. (English) Zbl 0647.06002 Order 3, 269-281 (1986). Reviewer: M. Gionfriddo MSC: 06A06 05C20 05C75 × Cite Format Result Cite Review PDF Full Text: DOI