ALBANY — A divided appellate court ruled yesterday that the state cannot be held liable for the carnage wreaked by Oscar Linderberry, who killed his ex-wife and kidnapped, stabbed and raped another woman while parole officers waited one extra day to arrest him for violating parole.

The officers had issued a parole violation warrant hours before Mr. Linderberry began his rampage, but they decided to execute it the next day, in large part to avoid traveling during a snow storm.