منابع مشابه
New Perspectives on Interval Orders and Interval Graphs
Interval orders and interval graphs are particularly natural examples of two widely studied classes of discrete structures: partially ordered sets and undirected graphs. So it is not surprising that researchers in such diverse fields as mathematics, computer science, engineering and the social sciences have investigated structural, algorithmic, enumerative, combinatorial, extremal and even expe...
متن کاملMinimization of Open Orders Using Interval Graphs
In this paper we address an order processing optimization problem known as the Minimization of Open Stacks Problem (MOSP). This problem consists in finding the best sequence for manufacturing the different products required by costumers, in a setting where only one product can be made at a time. The objective is to minimize the maximum number of incomplete orders from costumers that are being p...
متن کاملThe niche graphs of interval orders
The niche graph of a digraph D is the (simple undirected) graph which has the same vertex set as D and has an edge between two distinct vertices x and y if and only if N D (x)∩N + D (y) 6= ∅ or N − D (x)∩ N D (y) 6= ∅, where N + D (x) (resp. N − D (x)) is the set of out-neighbors (resp. in-neighbors) of x in D. A digraph D = (V,A) is called a semiorder (or a unit interval order) if there exist ...
متن کاملInterval orders and dimension
We show that for every interval order X , there exists an integer t so that if Y is any interval order with dimension at least t, then Y contains a subposet isomorphic to X .
متن کاملOn Generalized Interval Orders
In this paper, we introduce the notion of generalized interval order (GIO) which extends the notion of interval order in non-transitive binary relations. This allow us to extend the classical representation theorem of Fishburn in [5]. We also provide sufficient conditions which ensure the existence of the Generalized Optimal Choice Set (GOCS) of GIOs. Finally, we characterize the existence of t...
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1985
ISSN: 0012-365X
DOI: 10.1016/0012-365x(85)90042-1