From an analyst's perspective a perfect bracket would have all first-round matchups between teams with no common opponents, and no regular season rematches during regional play. Nobody cares (nor should they) about analyst's desires, but fans would be on-board with the rematch bit, too.
Here's the record-vs-common-opponents summary for the 2015 regionals, for all team-pairs in paired regionals. Cells include the number of common opponents (bold unless there are none) followed by the record vs common opponents. The record for the team named in the row is highlighted green-"ish" if it is better than the team represented by the column heading, red-"ish" if worse. If he win% vs common opponents is equal for the row and column team, the cell is gray-"ish".
Los Angeles | Lake Elisnore | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | UCLA | ∗ | 1 0-1 | 2 5-0 | 5 10-2 | 7 12-5 | 14 26-9 | 1 2-1 | 3 5-1 |
#2 | Mississippi | 1 2-1 | ∗ | 2 2-4 | 0 | 0 | 1 2-1 | 2 3-2 | 0 |
#3 | Maryland | 2 3-1 | 2 1-1 | ∗ | 2 5-1 | 1 2-1 | 2 3-1 | 6 5-4 | 0 |
#4 | Cal State Bakersfield | 5 4-6 | 0 | 2 2-1 | ∗ | 6 8-7 | 5 4-7 | 0 | 3 3-4 |
#1 | UC Santa Barbara | 7 13-6 | 0 | 1 1-2 | 6 11-7 | ∗ | 7 15-6 | 0 | 7 17-4-1 |
#2 | Southern California | 14 22-13 | 1 1-0 | 2 4-1 | 5 5-7 | 7 9-6 | ∗ | 1 3-0 | 3 3-5 |
#3 | Virginia | 1 3-0 | 2 1-3 | 6 6-2 | 0 | 0 | 1 1-0 | ∗ | 0 |
#4 | San Diego State | 3 4-3 | 0 | 0 | 3 6-3 | 7 12-7 | 3 5-4 | 0 | ∗ |
Baton Rouge | Houston | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Louisiana State | ∗ | 1 2-0 | 4 4-1 | 0 | 7 11-1 | 4 5-1 | 8 10-1 | 8 8-2 |
#2 | North Carolina-Wilmington | 1 0-1 | ∗ | 1 1-0 | 2 5-0 | 3 3-1 | 0 | 0 | 0 |
#3 | Tulane | 4 9-4 | 1 1-3 | ∗ | 0 | 7 12-11 | 2 2-6 | 5 9-6 | 3 7-4 |
#4 | Lehigh | 0 | 2 0-5 | 0 | ∗ | 1 0-2 | 0 | 0 | 0 |
#1 | Houston | 7 10-5 | 3 8-6 | 7 15-8 | 1 2-2 | ∗ | 5 3-3 | 4 4-3 | 6 8-2 |
#2 | Rice | 4 3-3 | 0 | 2 3-3 | 0 | 5 4-2 | ∗ | 3 4-3 | 6 6-5 |
#3 | Louisiana-Lafayette | 8 10-5 | 0 | 5 3-4 | 0 | 4 7-5 | 3 6-4 | ∗ | 8 12-7 |
#4 | Houston Baptist | 8 8-11 | 0 | 3 1-7 | 0 | 6 6-8 | 6 9-5 | 8 5-14 | ∗ |
Lousville | Fullerton | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Louisville | ∗ | 0 | 2 1-1 | 3 4-1 | 3 2-1 | 1 1-0 | 8 19-4 | 2 1-1 |
#2 | Bradley | 0 | ∗ | 1 2-0 | 2 4-1 | 0 | 0 | 0 | 0 |
#3 | Michigan | 2 6-1 | 1 2-2 | ∗ | 1 1-1 | 4 7-7 | 4 6-5 | 2 1-1 | 1 1-2 |
#4 | Morehead State | 3 2-5 | 2 3-5 | 1 3-1 | ∗ | 1 3-1 | 1 3-1 | 0 | 1 3-1 |
#1 | Cal State Fullerton | 3 0-5 | 0 | 4 6-8 | 1 1-1 | ∗ | 5 7-8 | 1 1-0 | 8 15-9 |
#2 | Arizona State | 1 1-0 | 0 | 4 7-3 | 1 2-1 | 5 8-6 | ∗ | 0 | 5 7-6 |
#3 | Clemson | 8 13-12 | 0 | 2 0-2 | 0 | 1 2-2 | 0 | ∗ | 0 |
#4 | Pepperdine | 2 3-1 | 0 | 1 0-1 | 1 2-2 | 8 6-13 | 5 3-8 | 0 | ∗ |
Gainesville | Tallahassee | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Florida | ∗ | 3 4-2 | 4 5-3 | 3 6-1 | 5 9-3 | 1 3-0 | 9 17-8 | 3 5-2 |
#2 | Florida Atlantic | 3 4-2 | ∗ | 6 9-2 | 3 6-0 | 5 4-4 | 0 | 2 2-4 | 1 1-0 |
#3 | South Florida | 4 7-6 | 6 9-8 | ∗ | 2 3-0 | 6 7-8 | 1 2-1 | 3 4-2 | 2 5-0 |
#4 | Florida A&M | 3 4-7 | 3 5-7 | 2 4-5 | ∗ | 3 1-6 | 0 | 2 0-3 | 3 9-6 |
#1 | Florida State | 5 9-3 | 5 10-4 | 6 10-4 | 3 4-1 | ∗ | 4 8-5 | 3 4-3 | 3 3-6 |
#2 | College of Charleston | 1 1-2 | 0 | 1 1-2 | 0 | 4 6-3 | ∗ | 2 3-3 | 4 9-0 |
#3 | Auburn | 9 14-13 | 2 2-3 | 3 3-3 | 2 2-0 | 3 5-3 | 2 5-1 | ∗ | 7 9-5 |
#4 | Mercer | 3 5-1 | 1 3-0 | 2 5-1 | 3 5-1 | 3 3-3 | 4 8-4 | 7 7-7 | ∗ |
Coral Gables | Dallas | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Miami Florida | ∗ | 4 9-3 | 4 9-0 | 5 11-2 | 0 | 0 | 0 | 4 9-4 |
#2 | East Carolina | 4 6-4 | ∗ | 7 12-3 | 4 9-5 | 1 3-0 | 0 | 0 | 3 5-3 |
#3 | Columbia | 4 1-6 | 7 7-10 | ∗ | 0 | 0 | 0 | 0 | 2 4-2 |
#4 | Florida International | 5 1-7 | 4 3-6 | 0 | ∗ | 1 2-1 | 0 | 2 4-4 | 3 3-3 |
#1 | Dallas Baptist | 0 | 1 3-0 | 0 | 1 3-0 | ∗ | 2 1-2 | 7 10-5 | 1 3-0 |
#2 | Oregon State | 0 | 0 | 0 | 0 | 2 1-1 | ∗ | 5 6-1 | 0 |
#3 | Texas | 0 | 0 | 0 | 2 3-2 | 7 7-12 | 5 9-8 | ∗ | 1 4-0 |
#4 | Virginia Commonwealth | 4 2-4 | 3 2-3 | 2 5-0 | 3 6-2 | 1 0-2 | 0 | 1 1-0 | ∗ |
Champaign | Nashville | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Illinois | ∗ | 4 9-1 | 0 | 3 5-2 | 2 2-0 | 2 2-0 | 7 13-4 | 1 1-0-1 |
#2 | Notre Dame | 4 2-2 | ∗ | 4 2-2 | 6 5-3 | 2 1-3 | 0 | 5 3-4 | 1 1-0 |
#3 | Wright State | 0 | 4 9-3 | ∗ | 6 16-6 | 2 2-2 | 1 3-3 | 3 8-1 | 3 5-0 |
#4 | Ohio | 3 3-2 | 6 10-7 | 6 7-5 | ∗ | 1 1-0 | 3 7-0 | 5 5-2 | 1 0-1 |
#1 | Vanderbilt | 2 7-0 | 2 1-2 | 2 1-4 | 1 2-1 | ∗ | 1 2-1 | 4 6-2 | 7 11-4 |
#2 | Radford | 2 4-1 | 0 | 1 1-1 | 3 5-1 | 1 0-3 | ∗ | 1 1-2 | 0 |
#3 | Indiana | 7 15-7 | 5 6-2 | 3 2-1 | 5 10-0 | 4 2-4 | 1 1-1 | ∗ | 1 1-0 |
#4 | Lipscomb | 1 4-0 | 1 1-1 | 3 6-2 | 1 2-1 | 7 9-6 | 0 | 1 2-1 | ∗ |
Fort Worth | College Station | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Texas Christian | ∗ | 0 | 0 | 0 | 8 13-3 | 1 3-0 | 4 4-4 | 1 1-1 |
#2 | North Carolina State | 0 | ∗ | 1 0-1 | 0 | 0 | 7 11-7 | 1 1-0 | 0 |
#3 | Stony Brook | 0 | 1 3-0 | ∗ | 5 7-3 | 0 | 1 3-0 | 0 | 0 |
#4 | Sacred Heart | 0 | 0 | 5 8-5 | ∗ | 0 | 1 2-4 | 1 0-4 | 0 |
#1 | Texas A&M | 8 9-1 | 0 | 0 | 0 | ∗ | 1 1-2 | 0 | 4 4-0 |
#2 | Coastal Carolina | 1 1-0 | 7 8-6 | 1 1-0 | 1 2-0 | 1 1-0 | ∗ | 1 1-2 | 0 |
#3 | California | 4 8-4 | 1 2-1 | 0 | 1 1-2 | 0 | 1 2-1 | ∗ | 0 |
#4 | Texas Southern | 1 0-4 | 0 | 0 | 0 | 4 7-6 | 0 | 0 | ∗ |
Springfield | Stillwater | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Missouri State | ∗ | 5 10-2 | 1 1-0 | 1 2-1 | 6 13-4 | 2 2-0 | 4 9-2 | 1 4-0 |
#2 | Iowa | 5 4-4 | ∗ | 0 | 3 4-3 | 5 6-5 | 2 3-1 | 2 2-1 | 0 |
#3 | Oregon | 1 2-1 | 0 | ∗ | 0 | 5 11-6 | 1 2-0 | 0 | 0 |
#4 | Canisius | 1 0-2 | 3 1-5 | 0 | ∗ | 0 | 1 0-1 | 0 | 5 13-4 |
#1 | Oklahoma State | 6 9-3 | 5 9-4 | 5 4-3 | 0 | ∗ | 2 1-1 | 5 11-2 | 0 |
#2 | Arkansas | 2 3-1 | 2 0-2 | 1 0-2 | 1 0-1 | 2 2-2 | ∗ | 1 1-1 | 1 1-0 |
#3 | Oral Roberts | 4 4-5 | 2 8-0 | 0 | 0 | 5 9-6 | 1 2-1 | ∗ | 0 |
#4 | St John's | 1 3-0 | 0 | 0 | 5 7-1 | 0 | 1 3-1 | 0 | ∗ |
Potential rematches with prior results in the same format are shown below.
Los Angeles | Lake Elisnore | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | UCLA | ∗ | — | — | — | — | 2-2 | — | 1-0 |
#2 | Mississippi | — | ∗ | — | — | — | — | — | — |
#3 | Maryland | — | — | ∗ | — | — | — | — | — |
#4 | Cal State Bakersfield | — | — | — | ∗ | 1-1 | — | — | — |
#1 | UC Santa Barbara | — | — | — | 1-1 | ∗ | 2-0 | — | — |
#2 | Southern California | 2-2 | — | — | — | 0-2 | ∗ | — | — |
#3 | Virginia | — | — | — | — | — | — | ∗ | — |
#4 | San Diego State | 0-1 | — | — | — | — | — | — | ∗ |
Baton Rouge | Houston | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Louisiana State | ∗ | — | 2-0 | — | 1-0 | — | 1-0 | — |
#2 | North Carolina-Wilmington | — | ∗ | 0-1 | — | — | — | — | — |
#3 | Tulane | 0-2 | 1-0 | ∗ | — | 2-4 | — | — | — |
#4 | Lehigh | — | — | — | ∗ | — | — | — | — |
#1 | Houston | 0-1 | — | 4-2 | — | ∗ | 2-1 | 0-1 | 0-1 |
#2 | Rice | — | — | — | — | 1-2 | ∗ | — | 1-0 |
#3 | Louisiana-Lafayette | 0-1 | — | — | — | 1-0 | — | ∗ | — |
#4 | Houston Baptist | — | — | — | — | 1-0 | 0-1 | — | ∗ |
Lousville | Fullerton | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Louisville | ∗ | — | — | — | 0-1 | — | 2-2 | — |
#2 | Bradley | — | ∗ | — | — | — | — | — | — |
#3 | Michigan | — | — | ∗ | — | — | — | — | — |
#4 | Morehead State | — | — | — | ∗ | — | — | — | — |
#1 | Cal State Fullerton | 1-0 | — | — | — | ∗ | — | — | 1-0 |
#2 | Arizona State | — | — | — | — | — | ∗ | — | — |
#3 | Clemson | 2-2 | — | — | — | — | — | ∗ | — |
#4 | Pepperdine | — | — | — | — | 0-1 | — | — | ∗ |
Gainesville | Tallahassee | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Florida | ∗ | 1-0 | 2-0 | — | 1-2 | — | 3-1 | — |
#2 | Florida Atlantic | 0-1 | ∗ | — | — | — | — | — | — |
#3 | South Florida | 0-2 | — | ∗ | 3-0 | 0-2 | — | — | — |
#4 | Florida A&M | — | — | 0-3 | ∗ | — | — | 0-1 | 1-2 |
#1 | Florida State | 2-1 | — | 2-0 | — | ∗ | — | — | — |
#2 | College of Charleston | — | — | — | — | — | ∗ | — | — |
#3 | Auburn | 1-3 | — | — | 1-0 | — | — | ∗ | — |
#4 | Mercer | — | — | — | 2-1 | — | — | — | ∗ |
Coral Gables | Dallas | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Miami Florida | ∗ | — | — | — | — | — | — | — |
#2 | East Carolina | — | ∗ | — | — | — | — | — | 1-2 |
#3 | Columbia | — | — | ∗ | — | — | — | — | — |
#4 | Florida International | — | — | — | ∗ | — | — | — | — |
#1 | Dallas Baptist | — | — | — | — | ∗ | — | — | — |
#2 | Oregon State | — | — | — | — | — | ∗ | — | — |
#3 | Texas | — | — | — | — | — | — | ∗ | — |
#4 | Virginia Commonwealth | — | 2-1 | — | — | — | — | — | ∗ |
Champaign | Nashville | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Illinois | ∗ | — | — | — | — | — | 2-0 | — |
#2 | Notre Dame | — | ∗ | — | — | — | — | 0-1 | — |
#3 | Wright State | — | — | ∗ | — | — | — | — | — |
#4 | Ohio | — | — | — | ∗ | — | — | — | — |
#1 | Vanderbilt | — | — | — | — | ∗ | — | — | 0-1 |
#2 | Radford | — | — | — | — | — | ∗ | — | — |
#3 | Indiana | 0-2 | 1-0 | — | — | — | — | ∗ | — |
#4 | Lipscomb | — | — | — | — | 1-0 | — | — | ∗ |
Fort Worth | College Station | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Texas Christian | ∗ | — | — | — | — | — | — | 1-0 |
#2 | North Carolina State | — | ∗ | — | — | — | 0-1 | — | — |
#3 | Stony Brook | — | — | ∗ | 1-0 | — | — | — | — |
#4 | Sacred Heart | — | — | 0-1 | ∗ | — | — | — | — |
#1 | Texas A&M | — | — | — | — | ∗ | — | — | — |
#2 | Coastal Carolina | — | 1-0 | — | — | — | ∗ | — | — |
#3 | California | — | — | — | — | — | — | ∗ | — |
#4 | Texas Southern | 0-1 | — | — | — | — | — | — | ∗ |
Springfield | Stillwater | ||||||||
#1 | #2 | #3 | #4 | #1 | #2 | #3 | #4 | ||
#1 | Missouri State | ∗ | 0-1 | — | — | 0-1 | 1-0 | — | — |
#2 | Iowa | 1-0 | ∗ | — | — | — | — | — | — |
#3 | Oregon | — | — | ∗ | — | — | — | — | 3-0 |
#4 | Canisius | — | — | — | ∗ | — | — | — | — |
#1 | Oklahoma State | 1-0 | — | — | — | ∗ | — | 0-2 | — |
#2 | Arkansas | 0-1 | — | — | — | — | ∗ | — | — |
#3 | Oral Roberts | — | — | — | — | 2-0 | — | ∗ | — |
#4 | St John's | — | — | 0-3 | — | — | — | — | ∗ |