On claw-decomposition of complete graphs and complete bigraphs
نویسندگان
چکیده
منابع مشابه
Destroying symmetry by orienting edges: Complete graphs and complete bigraphs
Our purpose is to introduce the concept of determining the smallest number of edges of a graph which can be oriented so that the resulting mixed graph has the trivial automorphism group. We find that this number for complete graphs is related to the number of identity oriented trees. For complete bipartite graphs Ks,t, s ≤ t, this number does not always exist. We determine for s ≤ 4 the values ...
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An H-magic labeling in a H-decomposable graph G is a bijection f : V (G) ∪ E(G) → {1, 2, ..., p + q} such that for every copy H in the decomposition, ∑νεV (H) f(v) + ∑νεE (H) f(e) is constant. f is said to be H-E-super magic if f(E(G)) = {1, 2, · · · , q}. A family of subgraphs H1,H2, · · · ,Hh of G is a mixed cycle-decomposition of G if every subgraph Hi is isomorphic to some cycle Ck, for k ≥...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1975
ISSN: 0018-2079
DOI: 10.32917/hmj/1206136782