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Record W96860797

On K-broadcasting in graphs

2006· dissertation· en· W96860797 on OpenAlex

Why this work is in the frame

A frame that forgets how it found something cannot be audited. These are the routes that admitted this work.

affAt least one author lists a Canadian institution in the pinned OpenAlex snapshot.

Bibliographic record

VenueSpectrum Research Repository (Concordia University) · 2006
Typedissertation
Languageen
FieldComputer Science
TopicInterconnection Networks and Systems
Canadian institutionsConcordia University
Fundersnot available
KeywordsBroadcasting (networking)Vertex (graph theory)GraphComputer scienceCombinatoricsNetwork topologyUpper and lower boundsConnectivityMathematicsDiscrete mathematicsComputer network
DOInot available

Abstract

fetched live from OpenAlex

Broadcasting is a fundamental information dissemination problem, wherein a message is sent from one vertex, the originator, to all other vertices in a graph. In k -broadcasting, an informed vertex can sends the message to at most k uninformed neighbors in each time unit. This thesis presents several algorithms to perform efficient k -broadcasting. The algorithm KBT generates the optimal k -broadcast scheme in trees, while the algorithm KBC finds the k -broadcast center of a given tree. This thesis presents an efficient heuristic for k -broadcasting. The heuristic has a low time complexity and generates fast k -broadcast schemes in many network topologies. A k -broadcast graph G is a graph on n vertices where the k -broadcast time of G is [Special characters omitted.] log k +1 n [Special characters omitted.] . B k (n) stands for the minimum possible number of edges in a k -broadcast graph on n vertices. A k -broadcast graph on n vertices with B k (n) edges is a minimum k -broadcast graph, which is denoted by k -mbg. This thesis presents several new k -mbg's and an improved lower bound on B k (n)

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.

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)0.001
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: none
GenreCandidate signal: Empirical · Consensus signal: Empirical
Teacher disagreement score0.825
Threshold uncertainty score1.000

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
Meta-epidemiology (narrow)0.0000.000
Meta-epidemiology (broad)0.0000.000
Bibliometrics0.0030.003
Science and technology studies0.0010.000
Scholarly communication0.0000.000
Open science0.0020.000
Research integrity0.0000.002
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 head0.024
GPT teacher head0.269
Teacher spread0.245 · 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