As police continued searching Monday for a young Swampscott woman whose family reported her missing over the weekend, there were indications that a registered sex offender may be emerging as a person of interest in the investigation.A spokesman for Essex District Attorney Jonathan Blodgett would not comment on whether there is a person of interest or suspect in the case, but noted no arrests had been made as of Monday evening.Jaimee Mendez, 25, was reported missing at 3:47 p.m. Saturday. Authorities have been tight-lipped about the case, but said the search involves Swampscott, Lynn and Salem police and the State Police Airwing as well as state police assigned to the district attorney’s office. Mendez was last seen by her family at approximately 6:40 p.m. Thursday, the district attorney’s office said.Media converged Monday on a Lynn neighborhood that is reportedly home to the man Mendez was allegedly with on Thursday. Neighbors reported a car from his home was towed away by police Sunday. The district attorney’s spokesman said she could not comment on whether police were searching a car.Mendez’ sister Alyssa told reporters Sunday that Mendez was last seen in the company of a man, and she called a friend to come and pick her up because the man was acting strangely. The friend arrived to pick her up, but Mendez was nowhere to be found, the family said.Police reported searching an office park in Salem as well as a dumpster behind a CVS on Eastern Avenue in Lynn on Sunday. Family members told reporters and posted on Facebook that Mendez’ cell phone and ID were found at the Salem site. Her shoes were reportedly found in the dumpster in Lynn.Meanwhile, Alyssa Mendez told reporters that her sister Jaimee is diabetic and needs regular medication. Mendez also has a young son with autism to whom she is dedicated, the family said.Carol Brown, a former vice principal at Marshall Middle School, recalled Mendez, who attended Ingalls Elementary School and Marshall before heading to Lynn Vocational Technical Institute for a year.”She was friends with a lot of kids and very open,” Brown said. “She always had a smile, and had no problem talking to adults, which some kids do…she was a pretty good kid.”School Committee Member Rick Starbard, who previously taught at Tech, recalled seeing Mendez around the school.”She always seemed like a happy kid in school,” Starbard said.Reports of Mendez’ disappearance left Brown surprised and dismayed.I’m hoping she just took off,” Brown said. “I’m hopeful that they find her and that they find her well.”