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Graph Encoding and Transitive Closure Representation

2009· book-chapter· en· W2775079186 on OpenAlexaff
Yangjun Chen

Bibliographic record

VenueIGI Global eBooks · 2009
Typebook-chapter
Languageen
FieldComputer Science
TopicInterconnection Networks and Systems
Canadian institutionsUniversity of Winnipeg
Fundersnot available
KeywordsTransitive closureReachabilityDigraphComputer scienceTheoretical computer scienceDirected graphGraphCombinatoricsDiscrete mathematicsMathematicsAlgorithm

Abstract

fetched live from OpenAlex

Composite objects represented as directed graphs are an important data structure that require efficient support Web and document databases (Abiteboul, Cluet, Christophides, Milo, Moerkotte, & Simon, 1997; Chen & Aberer, 1998, 1999; Mendelzon, Mihaila, & Milo, 1997; Zhang, Naughton, Dewitt, Luo, & Lohman, 2001), CAD/ CAM, CASE, office systems, and software management. It is cumbersome to handle such objects in relational database systems when they involve ancestor-descendant relations (or say, reachability relations). In this article, we present a new graph encoding based on a tree labeling method and the concept of branchings that are used in the graph theory for finding the shortest connection networks. A branching is a subgraph of a given digraph that is in fact a forest, but covers all the nodes of the graph. Concretely, for a DAG G (directed acyclic graph) of n nodes, the space needed for storing its transitive closure can be reduced to O(b·n), where b is the number of the leaf nodes of G’s branching. Such a compression is, however, at the expense of querying time. Theoretically, it takes O(logb) time to check whether a node is reachable from another. The method can also be extended to digraphs containing cycles.

Fetched live from OpenAlex and de-inverted. Abstracts are not stored in this database: the inverted indexes are 8.6 GB of the frame’s 9.3 GB of text, and the host has 13 GB free.

How this classification was reachedexpand

Full frame distilled prediction

Teacher imitation

Not calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.

metaresearch head score (Codex)0.000
metaresearch head score (Gemma)0.000
Version: codex-gemma-dda1882f352aValidation status: machine_predicted_unvalidated
Candidate categoriesMeta-epidemiology (narrow)
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Other · Consensus signal: none
Teacher disagreement score0.895
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0000.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0000.000
Science and technology studies0.0000.000
Scholarly communication0.0000.000
Open science0.0000.000
Research integrity0.0000.000
Insufficient payload (model declined to judge)0.0000.000

Machine scores (provisional)

The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.

Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.

Opus teacher head0.021
GPT teacher head0.248
Teacher spread0.227 · how far apart the two teachers sit on this one work
Validation statusscore_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from it

Classification

machine, unvalidated

Machine predicted; a candidate call from one teacher head, not a consensus.

Study designTheoretical or conceptual
Domainnot available
GenreOther

How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".

Quick stats

Citations0
Published2009
Admission routes1
Has abstractyes

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