RESULTS AND OPEN PROBLEMS IN MATCHINGS IN REGULAR ...

How many perfect matchings in a regular bipartite graph?

In the case that 2d divides n, one can take G to be n2d disjoint copies of Kd,d. This graph has (d!)n/2d perfect matchings, and as Gjergji's ...

Results and open problems in matchings in regular graphs PDF

Read & Download PDF Results and open problems in matchings in regular graphs Free, Update the latest version with high-quality. Try NOW!

Pairwise Disjoint Perfect Matchings in r-Edge-Connected r-Regular ...

It turns out that our methods are limited to the even case of Thomassen's problem. We then prove some equivalences of statements on pairwise disjoint perfect ...

The Matching Problem in General Graphs is in Quasi-NC - YouTube

Computer Science/Discrete Mathematics Seminar I Topic: The Matching Problem in General Graphs is in Quasi-NC Speaker: Ola Svensson ...

Bill Martin -- Open Problems - WPI

A recent paper by Tuvi Etzion also has nice results ... I proved that the derived design of a perfect code is always a completely regular code.

Perfect matching for regular graphs is AC0-hard for the general ...

Results and open problems in matchings in regular graphs · Shmuel Friedland. Electronic Journal of Linear Algebra, 2012. downloadDownload free PDF View PDF ...

Not especially famous, long-open problems which anyone can ...

... results) during last decade. The sequence graph suggests that the ... "Which regular polygons are constructible with a marked straightedge/ruler ...

Perfect Matchings of Regular Bipartite Graphs - ACM Digital Library

Let G be a regular bipartite graph and Xï źEG. We show that there exist perfect matchings of G containing both, an odd and an even number of edges from X if ...

Can every d-regular graph be decomposed into at most d+1 ...

As a result, if you look at all the edges of a color, they must form a matching. We used d+1 colors, so we have decomposed the graph into ...

New results and open problems related to non-standard stringology

There are a number of string matching problems for which the best known algorithms rely on algebraic convolutions (an approach pioneered by ...

Selected open problems in Matching Under Preferences

may rank their acceptable potential matches in order of preference. Matching problems involving ordinal preferences over outcomes have received a great deal ...

OPAC 2022 - Sam Hopkins

Open Problems in Algebraic Combinatorics May 16-20, 2022 University of Minnesota Organizers: Christine Berkesch, Ben Brubaker, Gregg Musiker, Pavlo Pylyavskyy, ...

The Matching Problem in General Graphs Is in Quasi-NC

All these algorithms are randomized, and it remains a major open problem to determine whether ... The results of [4] and Theorem I.2 together imply that.

Maximum Matchings via Gaussian Elimination

multiplication algorithm. Our results resolve a long-standing open question of whether ... the matching algorithm. 5. CONCLUDING REMARKS AND OPEN. PROBLEMS. We ...

Open Problems from Dagstuhl Seminar 16451 - People

The result is a 4-regular planar graph (possibly with loops and parallel ... A problem left open by [56] is two-list stable matching. A matching market ...

IWOCA: International Workshop on Combinatorial Algorithms

If you know of any results relevant to one of the problems, also ... Open Problems on Prefix Normal Words, Zsuzsanna LiptÃ¡k, IWOCA 2020, July 2021.

11.5: Bipartite Graphs and Matchings - Engineering LibreTexts

A famous result known as Hall's Matching Theorem gives necessary and sufficient conditions for the existence of a matching in a bipartite graph.

Open problems of Paul Erdös in graph theory - Semantic Scholar

In this paper we shall consider ordinary graphs, that is, graphs without loops and multiple edges . ... Problems and Results on 3-chromatic Hypergraphs and Some ...

Open Problems in (Hyper)Graph Decomposition - HAL

We would like to scale up these initial results, to reach larger problems and be able ... problem, the authors switched to more regular coarsening ...

Open Problems and Notation - LIRMM

Problem 4.2 Extend the results/concepts in [7] on almost distance-regular graphs to the case of (almost) edge-distance-regularity. Study new concepts, such as ...