Fully Dynamically Maintaining Minimal Integral Separator for Threshold and Difference Graphs
نویسندگان
چکیده
This paper deals with the well known classes of threshold and difference graphs, both characterized by separators, i.e. node weight functions and thresholds. We show how to maintain minimum the value of the separator when the input (threshold or difference) graph is fully dynamic, i.e. edges/nodes are inserted/removed. Moreover, exploiting the data structure used for maintaining the minimality of the separator, we handle the operations of disjoint union and join of two threshold graphs.
منابع مشابه
The Minimal Integral Separator of a Threshold Graph
A graph is called threshold if there exists a real number b and real numbers aj associated with its vertices w, such that ims a, < b holds iff S is a stable (independent) set of vertices. The vector (a ,..., a; b) associated to a threshold graph is called an integral separator if ai + a > b + 1 for every edge (w,, wj). A simple algorithm is presented to determine for a given threshold graph its...
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