
Dense Graph Partitioning on sparse and dense graphs
We consider the problem of partitioning a graph into a nonfixed number ...
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Connected kpartition of kconnected graphs and cclawfree graphs
A connected partition is a partition of the vertices of a graph into set...
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FineGrained Complexity of Regular Path Queries
A regular path query (RPQ) is a regular expression q that returns all no...
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On Counting (Quantum)Graph Homomorphisms in Finite Fields of Prime Order
We study the problem of counting the number of homomorphisms from an inp...
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Balanced Crown Decomposition for Connectivity Constraints
We introduce the balanced crown decomposition that captures the structur...
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Shortest Distances as Enumeration Problem
We investigate the single source shortest distance (SSSD) and all pairs ...
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The Node Weight Dependent Traveling Salesperson Problem: Approximation Algorithms and Randomized Search Heuristics
Several important optimization problems in the area of vehicle routing c...
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From Symmetry to Asymmetry: Generalizing TSP Approximations by Parametrization
We generalize the tree doubling and Christofides algorithm, the two most...
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Zeros and approximations of Holant polynomials on the complex plane
We present fully polynomial approximation schemes for general classes of...
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Graph and String Parameters: Connections Between Pathwidth, Cutwidth and the Locality Number
We investigate the locality number, a recently introduced structural par...
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Extension of vertex cover and independent set in some classes of graphs and generalizations
We consider extension variants of the classical graph problems Vertex Co...
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On the Complexity of Solution Extension of Optimization Problems
The question if a given partial solution to a problem can be extended re...
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Combinatorial Properties and Recognition of Unit Square Visibility Graphs
Unit square (grid) visibility graphs (USV and USGV, resp.) are described...
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Katrin Casel
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