By B. R. Alspach

This quantity bargains with a number of difficulties related to cycles in graphs and circuits in digraphs. major researchers during this zone current the following three survey papers and forty two papers containing new effects. there's additionally a set of unsolved difficulties.

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This quantity offers with quite a few difficulties concerning cycles in graphs and circuits in digraphs. prime researchers during this region current right here three survey papers and forty two papers containing new effects. there's additionally a suite of unsolved difficulties.

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5] F. , 9 (19801, 305. D. [71 G. Szekeres, Polyhedral decomposition o f cubic graphs, J. A u s t r a l . Math. Seymur, Sums o f c i r c u i t s , Graph theory and r e l a t e d t o p i c s , ed. A. R. Murty, (Academic P r e s s , New York, 1 9 7 9 ) , 341-355. , 8 (19731, 367-387. V. D. A. I n t h i s p a p e r i t i s shown t h a t e v e r y c o n n e c t e d metac i r c u l a n t g r a p h h a v i n g a n e v e n number o f b l o c k s o f prime c a r d i n a l i t y , o t h e r t h a n t h e sole e x c e p t i o n o f t h e P e t e r s e n graph, h a s a Hamilton cycle.

Szekeres, Polyhedral decomposition o f cubic graphs, J. A u s t r a l . Math. Seymur, Sums o f c i r c u i t s , Graph theory and r e l a t e d t o p i c s , ed. A. R. Murty, (Academic P r e s s , New York, 1 9 7 9 ) , 341-355. , 8 (19731, 367-387. V. D. A. I n t h i s p a p e r i t i s shown t h a t e v e r y c o n n e c t e d metac i r c u l a n t g r a p h h a v i n g a n e v e n number o f b l o c k s o f prime c a r d i n a l i t y , o t h e r t h a n t h e sole e x c e p t i o n o f t h e P e t e r s e n graph, h a s a Hamilton cycle.

S (b-l)a’ Let R) R’ be any permutation of R , and put Hamilton Paths in Cartesian Products (zi : 1 5 i < ab) = (R’, sa’ (zi : 1 5 i < ab) If some m and n n i=l C z z . z . = i=1 +