Another sectionalization of linear tail-biting trellis

Vardy has investigated the basic property of sectionalization in conventional trellis in his paper. His proofs of the basic property are based on conventional trellis structure which fails to be generalized to linear tail-biting trellis. We already have investigated the normal sectionalization on tail-biting trellis in our paper and now we will give another method to get an optimal sectionalization of a given linear tail-biting trellis which could be better than the normal one. All properties of sectionalization in conventional trellis are preserved in linear tail-biting trellis.