The New York Yankees are not in this World Series, but a bunch of their alumni are. They are executives, coaches and scouts, and they have done for the San Francisco Giants what their equivalent Yankees’ contingent hasn’t been able to do since 2009.

And to make the picture even bleaker for the Yankees, Brian Sabean’s squad of former Yankees has won the World Series twice and has the Giants in their third since Brian Cashman’s crew last played in and last won the World Series.

The Giants’ band of former Yankees includes the team’s top two baseball executives, four of Bruce Bochy’s seven-man coaching staff and a relatively large assortment of scouting, player development and minor league personnel.

Brian Sabean, who has been the Giants’ general manager for 18 years, is the most important member of the Yankees’ expatriates. He is the architect of the Giants’ World Series champions, and he has recruited and hired the other Yankees’ expatriates.

“You make those contacts and develop relationships over time,” Sabean said by telephone from Kansas City before Game 2 of the World Series.

“That’s not unusual. People in baseball go back to their roots a lot of the time.”

Sabean’s roots in New York began when he went to work for the Yankees in 1984 after having been the head baseball coach at the University of Tampa. He spent eight years with the Yankees, primarily in scouting and player development.

It was during Sabean’s tenure that the Yankees signed and/or drafted Mariano Rivera, Jorge Posada, Andy Pettitte and Derek Jeter.

Sabean moved to the Giants in 1993, and the Yankees’ minor league system hasn’t recovered from the loss.

His departure had other ramifications as well. For one thing, Dick Tidrow followed.

Tidrow pitched for the Yankees. He pitched for them for five years and left under unusual circumstances. The season was 1979, and it was only 11 games old when Rich (Goose) Gossage and Cliff Johnson engaged in a post-game brawl in the Yankees’ clubhouse.

Gossage emerged from it with a torn ligament in his right thumb, and Tidrow, previously his setup man, replaced him as the closer. Tidrow had pitched effectively in the setup role, but he couldn’t duplicate his performance as closer.

After two particularly rough outings in which Tidrow gave up 9 runs and 14 hits in 4 1/3 innings, George Steinbrenner, the unhappy owner, ordered general manager Al Rosen to get rid of Tidrow. Rosen dutifully traded Tidrow to the Chicago Cubs.

The pitcher, however, returned to the Yankees in 1985 as a special assignment scout, working under Sabean.

“He’s a great boss to work for,” said Tidrow, who lives in the Kansas City area, about a dozen miles from Kauffman Stadium. “One time I offered to move there but he said with what you’re doing you might as well stay where you are.”

In his job with the Giants, Tidrow has always traveled a lot. He and Sabean have had similar starts to their current careers.

“Doug Melvin hired Tidrow,” Sabean said, referring to the Milwaukee general manager, who was the Yankees’ scouting director at the time. “Doug hired me. I left in ’93. Then Dick came over shortly after that.”

Tidrow is the Giants’ vice president and assistant general manager for player personnel, a Giants’ employee for 21 years who has contributed to seven post-season appearances.

“I guess it starts with bringing over Brian Sabean,” Tidrow said of the Yankees’ connection. “I came after Brian and we started acquiring guys we trusted.”

Dave Righetti is the longest serving uniformed member of the Yankees’ expatriates. A pitcher with the Yankees for 11 years, 4 as a starter, 7 as a closer, Righetti has been San Francisco’s pitching coach for 15 years.

Righetti, who pitched a no-hitter for the Yankees against Boston July 4, 1983, was not an original member of the Yankees. They acquired him from Texas in November 1978 in a 10-player that also sent Sparky Lyle to the Rangers.

Although it would have happened early the next season anyway, the Righetti deal broke up the culinary efforts of Lyle and Tidrow, who Tidrow said made hamburgers and hot dogs in the clubhouse.

Roberto Kelly has been the Giants’ first base coach for seven seasons. Signed by the Yankees as an undrafted free agent in 1982, he was an outfielder for the Yankees for six seasons.

His tenure ended when the Yankees traded him to Cincinnati in November 1992 for Paul O’Neill, who went on to play an integral role in four Yankees’ World Series titles.

Hensley Meulens and Joe Lefebvre were both Yankees outfielders and are now Giants’ hitting coaches.

Meulens, who signed with the Yankees as an undrafted free agent in 1985, played a total of 159 games for them over 5 seasons. He has been a Giants’ coach for 5 years.

The Yankees selected Lefebvre in the third round of the 1977 draft. He played only one season for them, 1980, before they included him in a six-player trade with San Diego in which the Yankees acquired Jerry Mumphrey.

Lefebvre has served with the Giants for nine years.

Off the field, the Giants employ even more former Yankees. Try these examples: J.T. Snow, Shane Turner, Fred Stanley, Henry Cotto, Steve Balboni, Felipe Alou.

The last named, who is a special assistant to Sabean, is more legitimately a Giants’ legend, having played for them their first 6 seasons in San Francisco and managing them for 4 years.

But Alou played for the Yankees for three seasons (1971-73), leaving when Montreal claimed him on waivers.

Turner is the director of player development. A sixth-round draft choice in 1985, he was traded to Philadelphia in 1987 for Mike Easler and never played for the Yankees.

Snow was drafted in the fifth round in 1989 and played 7 games and batted 6 times as a rookie in 1992, then was traded after that season to the Angels for Jim Abbott. Snow is a special assistant in the Giants’ player development department.

Stanley is also a special assistant in player development, but he had a more active career with the Yankees, playing eight years (1973-80), primarily as a shortstop.

The Yankees obtained him from San Diego in 1972 and traded him to Oakland in 1980.

Cotto is the coordinator for outfield and baserunning instruction, played for the Yankees for three seasons (1985-87) between trades with the Cubs and the Mariners.

Balboni, a highly popular player with the Yankees for five years in two different stays, is an advance major league scout for the Giants.

The Giants are in their third World Series in five years, seeking their third World Series triumph in five years. The Yankees, meanwhile, are non- participants for the fifth time in five years.