Gallai's path decomposition conjecture for graphs of small maximum degree
نویسندگان
چکیده
Gallai’s path decomposition conjecture states that the edges of any connected graph on n vertices can be decomposed into at most n+1 2 paths. We confirm that conjecture for all graphs with maximum degree at most five.
منابع مشابه
Gallai's path decomposition conjecture for triangle-free planar graphs
A path decomposition of a graph G is a collection of edge-disjoint paths of G that covers the edge set of G. Gallai (1968) conjectured that every connected graph on n vertices admits a path decomposition of cardinality at most ⌊(n + 1)/2⌋. Gallai’s Conjecture has been verified for many classes of graphs. In particular, Lovász (1968) verified this conjecture for graphs with at most one vertex wi...
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ورودعنوان ژورنال:
- CoRR
دوره abs/1609.06257 شماره
صفحات -
تاریخ انتشار 2016