The competition at the Sonoma-Marin Fair in Petaluma, California, on Friday was stiff. The old, blind, warty and hairless had all showed up to do their worst. But only one of them could emerge victorious, claiming the title of World’s Ugliest Dog. Martha, a 125-pound Neapolitan mastiff, was the “gassy” and droopy-eyed contestant who ended up clinching the top honor.