Due to a miscommunication on my part, I arrive on an evening exactly one week later than the Frommers have expected me, yet they manage such a warm welcome that I end up staying three hours. They seem to have plenty of time to talk. Still, there is a reminder throughout the evening that they lead very busy lives -- the constantly ringing telephone. One reason for my lengthy visit is that it takes place on the same night as the second heavyweight championship boxing match between Muhammad Ali and Leon Spinks. Arthur and I sit on his living room couch, watching the fight live on TV with great interest, rooting for Ali and resuming our interview between the rounds. Ali, who had lost the first fight with Spinks the previous February, beats him handily this time. "I'm a workaholic," confesses Arthur, excusing himself while he gets up to answer another call from overseas. An energetic, detail-oriented man, Arthur once worked 12 hours a day writing legal briefs and eight hours a day on his book. Today he is the head of Arthur Frommer Enterprises, an international corporation that includes a publishing company, a charter service and four hotels -- two in the Caribbean and two in Europe. Publishing remains his biggest enterprise. He publishes 30 to 40 travel guides each year, ranging in subject matter from the Far East to New York City. _Europe On $10 A Day_ has for many years been co-authored by his wife Hope. "While Arthur is on the streets grubbing for bargains," she says, "I'm in the museums." With her own career as an actress and director, Hope does not fly the Atlantic quite as often as her husband. Says Arthur: "I go to Europe like other people commute to Long Island. Sometimes I go without even a change of clothes." Twelve-year-old Pauline Frommer made her first trip to Europe at the age of two and a half months. Bright and precocious, she seems a natural to succeed her father in the business one day. Arthur Frommer's success story began shortly after he graduated from Yale Law School in 1953. While serving in the Army in Europe, he used every weekend to travel. "At the end of my stay in the Army," he recalls, "having nothing to do, I sat down and wrote a little volume called _The GI Guide to Europe_. It was written strictly from memory; it had no prices or phone numbers. I went home and started practicing law. Then I got a cable saying that all 50,000 copies had sold out immediately." Arthur used his first summer vacation from the law firm to go back to Europe and rewrite his travel guide, for civilian readers. It became "a monster which ate up my life." But he has never regretted his choice of careers.