Under the auspices of the Computational Complexity Foundation (CCF)

REPORTS > KEYWORD > MATCHING:
Reports tagged with matching:
TR95-007 | 1st January 1995
U. Faigle, S.P. Fekete, W. Hochstättler, W. Kern

#### THE NUCLEON OF COOPERATIVE GAMES AND AN ALGORITHM FOR MATCHING GAMES

The {\it nucleon} is introduced as a new allocation concept for
non-negative cooperative n-person transferable utility games.
The nucleon may be viewed as the multiplicative analogue of
Schmeidler's nucleolus.
It is shown that the nucleon of (not necessarily bipartite) matching
games ... more >>>

TR98-019 | 5th April 1998
Eric Allender, Klaus Reinhardt

#### Isolation, Matching, and Counting

We show that the perfect matching problem is in the
complexity class SPL (in the nonuniform setting).
This provides a better upper bound on the complexity of the
matching problem, as well as providing motivation for studying
the complexity class SPL.

Using similar ... more >>>

TR03-020 | 27th March 2003
Elad Hazan, Shmuel Safra, Oded Schwartz

#### On the Hardness of Approximating k-Dimensional Matching

We study bounded degree graph problems, mainly the problem of
k-Dimensional Matching \emph{(k-DM)}, namely, the problem of
finding a maximal matching in a k-partite k-uniform balanced
hyper-graph. We prove that k-DM cannot be efficiently approximated
to within a factor of $O(\frac{k}{ \ln k})$ unless $P = NP$.
This ... more >>>

TR03-026 | 20th February 2003
Janka Chlebíková, Miroslav Chlebik

#### Inapproximability results for bounded variants of optimization problems

We study small degree graph problems such as Maximum Independent Set
and Minimum Node Cover and improve approximation lower bounds for
them and for a number of related problems, like Max-B-Set Packing,
Min-B-Set Cover, Max-Matching in B-uniform 2-regular hypergraphs.
For example, we prove NP-hardness factor of 95/94
more >>>

TR08-077 | 23rd May 2008
Felix Brandt, Felix Fischer, Markus Holzer

#### On Iterated Dominance, Matrix Elimination, and Matched Paths

We study computational problems that arise in the context of iterated dominance in anonymous games, and show that deciding whether a game can be solved by means of iterated weak dominance is NP-hard for anonymous games with three actions. For the case of two actions, this problem can be reformulated ... more >>>

TR12-068 | 25th May 2012
Manuel Arora, Gábor Ivanyos, Marek Karpinski, Nitin Saxena

#### Deterministic Polynomial Factoring and Association Schemes

The problem of finding a nontrivial factor of a polynomial $f(x)$ over a finite field $\mathbb{F}_q$ has many known efficient, but randomized, algorithms. The deterministic complexity of this problem is a famous open question even assuming the generalized Riemann hypothesis (GRH). In this work we improve the state of the ... more >>>

TR14-093 | 22nd July 2014
Dmitry Itsykson, Mikhail Slabodkin, Dmitry Sokolov

#### Resolution complexity of perfect mathcing principles for sparse graphs

The resolution complexity of the perfect matching principle was studied by Razborov [Raz04], who developed a technique for proving its lower bounds for dense graphs. We construct a constant degree bipartite graph $G_n$ such that the resolution complexity of the perfect matching principle for $G_n$ is $2^{\Omega(n)}$, where $n$ is ... more >>>

TR18-004 | 3rd January 2018
Aayush Ojha, Raghunath Tewari

#### Circuit Complexity of Bounded Planar Cutwidth Graph Matching

Recently, perfect matching in bounded planar cutwidth bipartite graphs
$BGGM$ was shown to be in ACC$^0$ by Hansen et al.. They also conjectured that
the problem is in AC$^0$.
In this paper, we disprove their conjecture by showing that the problem is
not in AC$^0[p^{\alpha}]$ for every prime $p$. ... more >>>

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