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Article
Botnet traffic identification using neural networks
Advancement of information and communication techniques have led to share big amount of information which is increasing day by day through online activities and creating new added value over the internet servi...
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Chapter and Conference Paper
Fast Algorithms for Constrained Graph Density Problems
We consider the question of finding communities in large social networks. In literature and practice, “communities” refer to a well-connected subgraph of the entire network. For instance, the notion of graph dens...
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Chapter and Conference Paper
Improved Algorithms for Resource Allocation under Varying Capacity
We consider the problem of scheduling a set of jobs on a system that offers certain resource, wherein the amount of resource offered varies over time. For each job, the input specifies a set of possible schedu...
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Chapter and Conference Paper
Approximation Algorithms for the Partition Vertex Cover Problem
We consider a natural generalization of the Partial Vertex Cover problem. Here an instance consists of a graph G = (V,E), a cost function c: V → ℤ + , a partition P 1, …, P ...
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Chapter and Conference Paper
Scheduling Jobs with Multiple Non-uniform Tasks
This paper considers the problem of maximizing the throughput of jobs wherein each job consists of multiple tasks. Consider a system offering a uniform capacity of a resource (say unit bandwidth). We are given...
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Article
Arthur and Merlin as Oracles
We study some problems solvable in deterministic polynomial time given oracle access to the (promise version of) Arthur–Merlin class. Our main results are the following:
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Chapter and Conference Paper
Resource Allocation for Covering Time Varying Demands
We consider the problem of allocating resources to satisfy demand requirements varying over time. The input specifies a demand for each timeslot. Each resource is specified by a start-time, end-time, an associ...
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Chapter and Conference Paper
Contact Center Scheduling with Strict Resource Requirements
Consider the following problem which often arises in contact center scheduling scenarios. We are given a set of employees where each employee can be deployed for shifts consisting of L consecutive time units. Fur...
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Chapter and Conference Paper
Scheduling Resources for Throughput Maximization
We consider the problem of scheduling a set of resources over time. Each resource is specified by a set of time intervals (and the associated amount of resource available), and we can choose to schedule it in ...
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Article
Deterministically Isolating a Perfect Matching in Bipartite Planar Graphs
We present a deterministic Logspace procedure, which, given a bipartite planar graph on n vertices, assigns O(log n) bits long weights to its edges so that the minimum weight perfect matching in the graph becomes...
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Article
Planar and Grid Graph Reachability Problems
We study the complexity of restricted versions of s-t-connectivity, which is the standard complete problem for \(\mathsf{NL}\) ...
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Article
Space-Efficient Counting in Graphs on Surfaces
We consider the problem of counting the number of spanning trees in planar graphs. We prove tight bounds on the complexity of the problem, both in general and especially in the modular setting. We exhibit the pro...
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Chapter and Conference Paper
Approximating Decision Trees with Multiway Branches
We consider the problem of constructing decision trees for entity identification from a given table. The input is a table containing information about a set of entities over a fixed set of attributes. The goal...
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Chapter and Conference Paper
Arthur and Merlin as Oracles
We study some problems solvable in deterministic polynomial time given oracle access to the promise version of the Arthur-Merlin class AM. The main result is that
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Article
Some Combinatorial and Algorithmic Applications of the Borsuk–Ulam Theorem
The Borsuk–Ulam theorem has many applications in algebraic topology, algebraic geomtry, and combinatorics. Here we study some combinatorial consequences, typically asserting the existence of a certain combinat...
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Chapter and Conference Paper
Oblivious Symmetric Alternation
We introduce a new class \(\rm {O}^p_2\) as a subclass of the symmetric alternation class
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Chapter and Conference Paper
The Directed Planar Reachability Problem
We investigate the s-t-connectivity problem for directed planar graphs, which is hard for L and is contained in NL but is not known to be complete. We show that this problem is logspace-reducible to its complemen...