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Oberwolfach problem: Formulation, Related problems & Known results

In mathematics, the Oberwolfach problem is an open problem that may be formulated either as a problem of scheduling seating assignments for diners, or more abstractly as a problem in graph theory, on the edge cycle covers of complete graphs. It is named after the Oberwolfach Research Institute for Mathematics, where the problem was posed in 1967 by…

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Oberwolfach problem topic overview

The analysis highlights Formulation, Related problems and Known results as prominent areas in the source structure around Oberwolfach problem.

Related topics
17
Source areas
4
Connected nodes
21
Extracted relationships
27
Concept neighborhoods
15
Bridge connections
21

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

Overview · 7 topics
Formulation · 5 topics
Related problems · 4 topics
Known results · 1 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. Each item opens a new analysis centered on that subject.

Overview

Formulation

Known results

Related problems

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

How Oberwolfach problem connects Entity context

The extracted context around Oberwolfach problem shows recurring relationship patterns in the source. For example, Oberwolfach problem → Cases, Glock, It, Joos, Kim, Kühn, Oberwolfach, OP, Osthus, The Another extracted example is Oberwolfach problem → Alternatively, An, Formulated, If, In, Oberwolfach, OP, The Oberwolfach, This. Use these groups to spot repeated connection types before inspecting the individual relationships.

Oberwolfach problem

Top relations

related to Known results · 10
Oberwolfach problem → Cases, Glock, It, Joos, Kim, Kühn, Oberwolfach, OP, Osthus, The
related to Formulation · 9
Oberwolfach problem → Alternatively, An, Formulated, If, In, Oberwolfach, OP, The Oberwolfach, This
related to Related problems · 7
Oberwolfach problem → Even, Glock, Kühn, More, Oberwolfach, Osthus, This
is a · 1
Oberwolfach problem → open problem that may be formulated either as a problem of scheduling seating assignments for diners

Important terminology

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

displaystyle problem oberwolfach complete graph known op instances tables given cycles solution seating cycle graphs vertices copies large mathematics participants

Oberwolfach problem relationships Subject–Predicate–Object triples

TTTA extracted 27 structured relationships around Oberwolfach problem. Examples in this analysis include Oberwolfach problem → is a → open problem that may be formulated either as a problem of scheduling seating assignments for diners and Oberwolfach problem → related to Formulation → In. The table shows each extracted connection, where it came from and its confidence.

SubjectPredicateObjectConfidenceSrc
Oberwolfach problemis aopen problem that may be formulated either as a problem of scheduling seating assignments for diners0.90text
Oberwolfach problemrelated to FormulationIn0.60section
Oberwolfach problemrelated to FormulationOberwolfach0.60section
Oberwolfach problemrelated to FormulationThe Oberwolfach0.60section
Oberwolfach problemrelated to FormulationAn0.60section
Oberwolfach problemrelated to FormulationOP0.60section
Oberwolfach problemrelated to FormulationAlternatively0.60section
Oberwolfach problemrelated to FormulationFormulated0.60section
Oberwolfach problemrelated to FormulationThis0.60section
Oberwolfach problemrelated to FormulationIf0.60section
Oberwolfach problemrelated to Known resultsGlock0.60section
Oberwolfach problemrelated to Known resultsJoos0.60section

Related concept clusters Concept neighborhoods

The concept neighborhoods around Oberwolfach problem bring nearby vocabulary together. In this analysis, examples include Problem, Seating and Special. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • Oberwolfach problem
    • Problem
    • Seating
    • Special
    • Case
    • Decomposition
    • Meal
    • Participants
    • Op
    • Cycles
    • Given
    • Solution
    • Tables
  • oberwolfach problem
    • Problem
    • Displaystyle
    • Seating
    • Given
    • Exactly
    • Special
    • Case
    • Decomposition
    • Next
    • Meal
    • Participants
    • Tables
  • open problem
    • Displaystyle
    • Seating
    • Given
    • Exactly
    • Special
    • Case
    • Decomposition
    • Even
    • Next
    • Tables
    • Op
    • Disjoint
  • graph theory
    • Complete
    • 2-regular
    • Union
    • Problem
    • Decomposition
    • Copies
    • Cycles
    • Displaystyle
    • Disjoint
    • Special
    • Oberwolfach
    • Case
  • edge cycle covers
    • Graphs
    • Open
    • Disjoint
    • Formulated
    • Tables
    • Graph
    • Mathematics
    • Displaystyle
    • Every
    • Instance
    • Many
    • Number
  • complete graphs
    • Graph
    • Copies
    • 2-regular
    • Decomposition
    • Vertices
    • Problem
    • Cycles
    • Given
    • Tables
    • Displaystyle
    • Special
    • Oberwolfach
  • oberwolfach research institute for mathematics
    • Problem
    • Open
    • Seating
    • Formulated
    • Oberwolfach
    • Graphs
    • Special
    • Case
    • Decomposition
    • Meal
    • Participants
    • Cycle
  • cycle graphs
    • Graphs
    • Open
    • Disjoint
    • Formulated
    • Tables
    • Mathematics
    • Graph
    • Number
    • Total
    • Displaystyle
    • Every
    • Instance

Connections between topic areas Semantic bridges

For Oberwolfach problem, one of the stronger structural bridges in this analysis connects Oberwolfach problem with Overview. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
Oberwolfach problem — Overview · splits 14 ⟂ 8
Oberwolfach problem — Formulation · splits 16 ⟂ 6
Oberwolfach problem — Related problems · splits 17 ⟂ 5

Map overview Semantic statistics

Oberwolfach problem

Nodes22
Edges21
Triples27
Avg. degree1.91
Density0.090909
Components1

Source & methodology

TTTA analyzes the structure around Oberwolfach problem to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as Formulation, Related problems & Known results, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — Oberwolfach problem · EN edition · Analysis: TopicsToTalkAbout

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