Succinct Data Structures for Series-Parallel, Block-Cactus and 3-Leaf Power Graphs

Power Domination on Block-cactus Graphs∗

The problem of monitoring an electric power system is placing as few measurement devices as possible. In graph theoretical representation, it can be considered as a variant of domination problem, namely, power domination problem. This problem is to find a minimum power domination set S of a graph G = (V,E) with S ⊆ V and S can dominate all vertices and edges through the observation rules accord...

Succinct Dynamic Data Structures

We develop succinct data structures to represent (i) a sequence of values to support partial sum and select queries and update (changing values) and (ii) a dynamic array consisting of a sequence of elements which supports insertion, deletion and access of an element at any given index. For the partial sums problem on n non-negative integers of k bits each, we support update operations in O(b) t...

Succinct Data Structures

Succinct Data Structures

SUCCINCT DATA STRUCTURES

Rank and Select for Succinct Data Structures

In this paper, we study different approaches for rank and select on sequences of bytes and propose new implementation strategies. Extensive experimental evaluation comparing the efficiency of the different alternatives are provided. Given a sequence of bits, a rank query counts the number of occurrences of the bit 1 up to a given position, and a select query returns the position of the ith occu...