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The Map-Coloring Game

2007· article· en· W2295838866 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.

aboutThe title or abstract carries a Canadian signal from the geographic lexicon.
no affNo Canadian affiliation: this work is invisible to an affiliation-only frame.
No Canadian affiliation. An affiliation-only frame, the usual design, would never have seen this work. It is one of the works that make the case for inverting the frame.

Bibliographic record

VenueAmerican Mathematical Monthly · 2007
Typearticle
Languageen
FieldComputer Science
TopicGraph Labeling and Dimension Problems
Canadian institutionsnot available
Fundersnot available
KeywordsPassionHabilitationChampionshipMathematicsGraphMathematics educationArtPsychologyCombinatoricsHumanitiesHistory

Abstract

fetched live from OpenAlex

Click to increase image sizeClick to decrease image size Additional informationNotes on contributorsTomasz BartnickiTOMASZ BARTNICKI started studying mathematics at the Technical University of Wroclaw, and received B.S. and M.S. degrees in mathematics from the University of Zielona Góra. At present he is a Ph.D. student at the Faculty of Mathematics, Computer Science, and Econometrics at the University of Zielona Góra. His main research interests are in graph theory, especially in different variants of graph-coloring games. Playing games is actually his true passion; he plays scrabble, backgammon, and most of all, bridge. In 1997 he represented Poland at the Junior Pairs World Bridge Championship.Jarosław GrytczukJAROSŁAW GRYTCZUK received a Ph.D. in mathematics in 1996 and habilitation in mathematics ten years later from Adam Mickiewicz University in Poznań. His research interests are in combinatorics and number theory, especially in graph colorings and integer sequences. He cannot play bridge or chess but he can play drums. The latter passion led him to study phenomena of repetitiveness in both music and mathematics.H. A. KiersteadHAL KIERSTEAD earned four degrees from the University of California, San Diego, culminating in his Ph.D. in logic under the direction of Michael Makkai and Alfred Manaster. During this period he also studied under Makkai at the University of California, Los Angeles, and McGill University. He is currently a professor at Arizona State University, where he teaches all levels of students and pursues his current research interests in graph theory, especially problems dealing with on-line algorithms and games, while he and his wife raise four children. He is an avid fan of soccer at all levels.Xuding ZhuXUDING ZHU was born and raised in China. He received a B.S. in mathematics from Wuhan Institute of Hydraulic and Electric Engineering and a M.S. in mathematics from Huazhong University of Science and Technology. He moved to Canada in 1987, where in 1991 he received a Ph.D. in mathematics from the University of Calgary under the supervision of Norbert Sauer. He worked as a postdoc with Pavol Hell at Simon Fraser University (Canada) and with Walter Deuber at University of Bielefeld (Germany). He is now a professor at National Sun Yat-sen University (Taiwan). His main research interest is in graph coloring, especially in the circular chromatic number of graphs.

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 categoriesnone
Consensus categoriesnone
DomainCandidate signal: none · Consensus signal: none
Study designCandidate signal: Theoretical or conceptual · Consensus signal: Theoretical or conceptual
GenreCandidate signal: Empirical · Consensus signal: none
Teacher disagreement score0.843
Threshold uncertainty score0.456

Codex and Gemma teacher scores by category

CategoryCodexGemma
Metaresearch0.0010.000
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 science0.0010.000
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 head0.010
GPT teacher head0.243
Teacher spread0.233 · 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