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ENDM
2007
13 years 6 months ago
2007
For any finite abelian group G and any subset S ⊆ G, we determine the connectivity of the addition Cayley graph induced by S on G. Moreover, we show that if this graph is not c...
ENDM
2007
13 years 6 months ago
2007
In 1977, Wegner conjectured that the chromatic number of the square of every planar graph G with maximum degree ∆ ≥ 8 is at most 3
ENDM
2007
13 years 6 months ago
2007
We show that the number of maximal sum-free subsets of {1, 2, . . . , n} is at most 23n/8+o(n) . We also show that 20.406n+o(n) is an upper bound on the number of maximal product-...
ENDM
2007
13 years 6 months ago
2007
Given a metric d on a permutation group G, the corresponding weight problem is to decide whether there exists an element g ∈ G such that d(g, e) = k for some k ∈ N. In this pa...
ENDM
2002
13 years 6 months ago
2002
Let G = (V, E) be a simple graph on vertex set V and define a function f : V {-1, 1}. The function f is a signed dominating function if for every vertex x V, the closed neighbor...