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We are given an interval graph G = (V, E) where each interval I ∈ V has a weight wI ∈ R+. The goal is to color the intervals V with an arbitrary number of color classes C1, C2...
The Induced Subgraph Isomorphism problem on two input graphs G and H is to decide whether G has an induced subgraph isomorphic to H. Already for the restricted case where H is a c...
: We study a variant of the path cover problem, namely, the k-fixed-endpoint path cover problem, or kPC for short. Given a graph G and a subset T of k vertices of V (G), a k-fixe...
We show that the mixed search number and the linear-width of interval graphs and of split graphs can be computed in linear time and in polynomial time, respectively.
We present a linear time algorithm for the minimum linear arrangement problem on proper interval graphs. The obtained ordering is a 4-approximation for general interval graphs. 1 ...
Abstract We consider a variant of the path cover problem, namely, the k-fixedendpoint path cover problem, or kPC for short, on interval graphs. Given a graph G and a subset T of k ...
We present the first dynamic graph algorithm for recognizing interval graphs. The algorithm runs in O(n log n) worst-case time per edge deletion or edge insertion, where n is the ...
A d-interval is the union of d disjoint intervals on the real line. A d-track interval is the union of d disjoint intervals on d disjoint parallel lines called tracks, one interval...
Given a vector ( 1 2 ::: t) of non increasing positive integers, and an undirected graph G = (V E), an L( 1 2 ::: t)-coloring of G is a function f from the vertex set V to a set o...
Alan A. Bertossi, Maria Cristina Pinotti, Romeo Ri...
The class of interval probe graphs is introduced to deal with the physical mapping and sequencing of DNA as a generalization of interval graphs. The polynomial time recognition al...