## Group Gset

Group Description ```Random graphs from Yinyu Ye, Univ. of Iowa. Obtained from ftp://dollar.biz.uiowa.edu/pub/yyye/Gset/ See also http://dollar.biz.uiowa.edu/col/ye/ From 'rudy', an automatic graph generator. Three types of patterns: even: evenly, randomly distributed entries tor: 2D torus. All nodes have degree 4. Wrapped in both directions skew: randomly distributed entries, but the avg degree of nodes 1:n appears to be a decaying function, from high (node 1) to low (node n) Matrices are binary or have values 0,1,-1. The distribution of +/-1 are random. Entries are in the strictly lower triangular part only. The original G* files in ftp://dollar.biz.uiowa.edu/pub/yyye/Gset/ contain no duplicate entries, and are strictly upper triangular. mat n nz type binary comments ------------------------------------------------------------------------------- Matrices G1-G10: exactly 3% of the upper tri. entries are nonzero G1 800 19176 even yes = spones (G6) G2 800 19176 even yes = spones (G7) G3 800 19176 even yes = spones (G8) G4 800 19176 even yes = spones (G9) G5 800 19176 even yes = spones (G10) G6 800 19176 even no G7 800 19176 even no G8 800 19176 even no G9 800 19176 even no G10 800 19176 even no ------------------------------------------------------------------------------- G11 800 1600 tor no 8-by-100 G12 800 1600 tor no 16-by-50 G13 800 1600 tor no 32-by-25 ------------------------------------------------------------------------------- G14 800 4694 skew yes = spones (G18) G15 800 4661 skew yes = spones (G19) G16 800 4672 skew yes = spones (G20) G17 800 4667 skew yes = spones (G21) G18 800 4694 skew no G19 800 4661 skew no G20 800 4672 skew no G21 800 4667 skew no ------------------------------------------------------------------------------- Matrices G22-G31: exactly 1% of the upper tri. entries are nonzero G22 2000 19990 even yes = spones (27) G23 2000 19990 even yes NOT = spones (28), a unique pattern G24 2000 19990 even yes = spones (29) G25 2000 19990 even yes = spones (30) G26 2000 19990 even yes = spones (31) G27 2000 19990 even no G28 2000 19990 even no G29 2000 19990 even no G30 2000 19990 even no G31 2000 19990 even no ------------------------------------------------------------------------------- G32 2000 4000 tor no 20-by-100 G33 2000 4000 tor no 25-by-80 G34 2000 4000 tor no 40-by-50 ------------------------------------------------------------------------------- G35 2000 11778 skew yes = spones (G39) G36 2000 11766 skew yes = spones (G40) G37 2000 11785 skew yes = spones (G41) G38 2000 11779 skew yes = spones (G42) G39 2000 11778 skew no G40 2000 11766 skew no G41 2000 11785 skew no G42 2000 11779 skew no ------------------------------------------------------------------------------- Matrices G43-G47: exactly 1% of the upper tri. entries are nonzero G43 1000 9990 even yes G44 1000 9990 even yes G45 1000 9990 even yes G46 1000 9990 even yes G47 1000 9990 even yes ------------------------------------------------------------------------------- G48 3000 6000 tor yes 60-by-50 G49 3000 6000 tor yes 100-by-30 G50 3000 6000 tor yes 120-by-25 ------------------------------------------------------------------------------- G51 1000 5909 skew yes G52 1000 5916 skew yes G53 1000 5914 skew yes G54 1000 5916 skew yes ------------------------------------------------------------------------------- Matrices G55-G56: approximately 0.05% of the upper tri. entries are nonzero (0.05% is 12497.5, which rounds up to 12498) G55 5000 12498 even yes = spones (56) G56 5000 12498 even no ------------------------------------------------------------------------------- G57 5000 10000 tor no 50-by-100 ------------------------------------------------------------------------------- G58 5000 29570 skew yes = spones (58) G59 5000 29570 skew no ------------------------------------------------------------------------------- Matrices G60-G61: approximately 0.035% of the upper tri. entries are nonzero (0.035% is 17147.55, which rounds up to 17148) G60 7000 17148 even yes = spones (61) G61 7000 17148 even no ------------------------------------------------------------------------------- G62 7000 14000 tor no 70-by-100 ------------------------------------------------------------------------------- G63 7000 41459 skew yes = spones (64) G64 7000 41459 skew ------------------------------------------------------------------------------- G65 8000 16000 tor no 80-by-100 ------------------------------------------------------------------------------- G66 9000 18000 tor no 100-by-90 ------------------------------------------------------------------------------- G67 10000 20000 tor no 100-by-100 -------------------------------------------------------------------------------```
Displaying collection matrices 1 - 20 of 67 in total
Id Name Group Rows Cols Nonzeros
469 G1 Gset 800 800 38,352
470 G10 Gset 800 800 38,352
471 G11 Gset 800 800 3,200
472 G12 Gset 800 800 3,200
473 G13 Gset 800 800 3,200
474 G14 Gset 800 800 9,388
475 G15 Gset 800 800 9,322
476 G16 Gset 800 800 9,344
477 G17 Gset 800 800 9,334
478 G18 Gset 800 800 9,388
479 G19 Gset 800 800 9,322
480 G2 Gset 800 800 38,352
481 G20 Gset 800 800 9,344
482 G21 Gset 800 800 9,334
483 G22 Gset 2,000 2,000 39,980
484 G23 Gset 2,000 2,000 39,980
485 G24 Gset 2,000 2,000 39,980
486 G25 Gset 2,000 2,000 39,980
487 G26 Gset 2,000 2,000 39,980
488 G27 Gset 2,000 2,000 39,980