Title
Intervals and Orders: What Comes After Interval Orders?
Abstract
In this paper we survey two kinds of generalizations of the ideas of interval graphs and interval orders. For the first generalization we use intervals in ordered sets more general than the real numbers. For the second generalization, we restrict ourselves to intervals chosen in the real numbers, but we define two vertices to be adjacent (in the graphs) or incomparable (in the orders) only when the intervals overlap by more than a specified amount. Each of these generalizations suggests new avenues for research.
Year
DOI
Venue
1994
10.1007/BFb0019424
ORDAL
Keywords
Field
DocType
interval orders,interval order,interval graph
Ordered set,Graph,Combinatorics,Interval order,Vertex (geometry),Generalization,Real number,Mathematics
Conference
ISBN
Citations 
PageRank 
3-540-58274-6
4
0.68
References 
Authors
4
1
Name
Order
Citations
PageRank
Kenneth P. Bogart116246.13