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Electronic Colloquium on Computational Complexity

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TR16-029 | 7th March 2016
Joshua Brakensiek, Venkatesan Guruswami

New hardness results for graph and hypergraph colorings

Finding a proper coloring of a $t$-colorable graph $G$ with $t$ colors is a classic NP-hard problem when $t\ge 3$. In this work, we investigate the approximate coloring problem in which the objective is to find a proper $c$-coloring of $G$ where $c \ge t$. We show that for all ... more >>>


TR16-028 | 29th February 2016
Olaf Beyersdorff, Joshua Blinkhorn

Dependency Schemes in QBF Calculi:Semantics and Soundness

Revisions: 1

We study the parametrization of QBF resolution calculi by dependency schemes. One of the main problems in this area is to understand for which dependency schemes the resulting calculi are sound. Towards this end we propose a semantic framework for variable independence based on `exhibition' by QBF models, and use ... more >>>


TR16-027 | 10th February 2016
Sagnik Mukhopadhyay

Tribes Is Hard in the Message Passing Model

Revisions: 1

We consider the point-to-point message passing model of communication in which there are $k$ processors
with individual private inputs, each $n$-bit long. Each processor is located at the node of an underlying
undirected graph and has access to private random coins. An edge of the graph is a private channel ... more >>>



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