Cycle double covers containing certain circuits in cubic graphs having special structures
نویسندگان
چکیده
منابع مشابه
6-cycle Double Covers of Cubic Graphs
A cycle double cover (CDC) of an undirected graph is a collection of the graph’s cycles such that every edge of the graph belongs to exactly two cycles. We describe a constructive method for generating all the cubic graphs that have a 6-CDC (a CDC in which every cycle has length 6). As an application of the method, we prove that all such graphs have a Hamiltonian cycle. A sense of direction is ...
متن کاملConstruction of Cycle Double Covers for certain classes of graphs
We introduce two classes of graphs, Indonesian graphs and k-doughnut graphs. Cycle double covers are constructed for these classes. In case of doughnut graphs this is done for the values k = 1, 2, 3 and 4.
متن کاملSmall cycle covers of 3-connected cubic graphs
Every 2-connected simple cubic graph of order n ≥ 6 has a cycle cover with at most dn4 e cycles. This bound is best possible.
متن کاملDouble covers of cubic graphs with oddness 4
We prove that a cubic 2-connected graph which has a 2-factor containing exactly 4 odd cycles has a cycle double cover. © 2004 Elsevier Inc. All rights reserved. MSC: 05C38; 05C40; 05C70
متن کاملCycle covers of cubic multigraphs
Alspach, B. and C.-Q. Zhang, Cycle covers of cubic multigraphs, Discrete Mathematics 111 (1993) 11-17.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 2015
ISSN: 0012-365X
DOI: 10.1016/j.disc.2014.11.021