Shortest cycle covers and cycle double covers with large 2-regular subgraphs
نویسندگان
چکیده
منابع مشابه
Shortest cycle covers and cycle double covers with large 2-regular subgraphs
In this paper we show that many snarks have shortest cycle covers of length 43m + c for a constant c, where m is the number of edges in the graph, in agreement with the conjecture that all snarks have shortest cycle covers of length 43m+ o(m). In particular we prove that graphs with perfect matching index at most 4 have cycle covers of length 4 3m and satisfy the (1, 2)-covering conjecture of Z...
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In this paper we continue our investigations from [HM01] regarding spanning subgraphs which imply the existence of cycle double covers. We prove that if a cubic graph G has a spanning subgraph isomorphic to a subdivision of a bridgeless cubic graph on at most 10 vertices then G has a CDC. A notable result is thus that a cubic graph with a spanning Petersen minor has a CDC, a result also obtaine...
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ژورنال
عنوان ژورنال: Journal of Combinatorics
سال: 2013
ISSN: 2156-3527,2150-959X
DOI: 10.4310/joc.2013.v4.n4.a5