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Simultaneous representation of interval and interval-containment orders

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Abstract

We characterize the polysemic interval pairs—pairs of posets that admit simultaneous interval and interval-containment representations—and present algorithms to recoginze them and construct polysemic interval representations.

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Additional information

This work, supported in part by NSF grant CCR-9300079, also appears in the author's doctoral thesis [9], written at the Johns Hopkins University under the supervision of Professors Edward R. Scheinerman and Michael T. Goodrich.

Communicated by I. Rival

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Tanenbaum, P.J. Simultaneous representation of interval and interval-containment orders. Order 13, 339–350 (1996). https://doi.org/10.1007/BF00405593

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Mathematics Subject Classifications (1991)

  • 06A07
  • 68U05

Key words

  • polysemy
  • interval orders
  • interval containment orders