FOOTBALL - Ranking Football Teams

FOOTBALL is the start of a program to compute rankings of college football teams automatically. A sample file of scores is available from Knuth's Stanford Graph Base. The program reads this file, computes a scoring matrix, and determines a ranking. At the moment, only some of Keener's methods have been implemented.

Reference 1:

Donald Knuth,
The Stanford Graph Base,
ACM Press, 1993.

Reference 2:

James Keener,
The Perron-Frobenius Theorem and the Ranking of Football Teams,
SIAM Review, Volume 35, Number 1, pages 80-93, March 1993.

Files you may copy include:

• football.f90, the source code;
• football.dat, the score data file;
• football.out, the sample output file;

The list of routines includes:

• FOOTBALL_MAIN is the main program for the football game analysis.
• C_CAP capitalizes a single character.
• C_EXTRACT extracts the next nonblank character from a string.
• GAME_PRINT prints the game information.
• GAMES_READ reads the game score data file.
• GET_UNIT returns a free FORTRAN unit number.
• I_EXTRACT "extracts" an integer from the beginning of a string.
• S_BEFORE_SS_COPY copies a string up to a given substring.
• S_EQI is a case insensitive comparison of two strings for equality.
• S_TO_I reads an integer value from a string.
• S_TOKEN_MATCH matches the beginning of a string and a set of tokens.
• SCORE_MATRIX_SET sets the entries of the score matrix.
• TEAM_PRINT prints the team name information.
• TEAM_READ reads the team name information from the game score data file.
• TOKEN_EXTRACT "extracts" a token from the beginning of a string.
• WARP computes a score that tries to factor out wipeouts.
• WORD_EXTRACT extracts the next word from a string.

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