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ARSCOM
1999
14 years 9 months ago
1999
Alon and Yuster [4] have proven that if a fixed graph K on g vertices is (h + 1)-colorable, then any graph G with n vertices and minimum degree at least h h+1 n contains at least ...
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ARSCOM
2007
14 years 9 months ago
2007
Let G be a simple graph and f : V (G) → {1, 3, 5, ...} an odd integer valued function defined on V (G). A spanning subgraph F of G is called a (1, f)odd factor if dF (v) ∈ {1...
ARSCOM
2007
14 years 9 months ago
2007
For any h ∈ N, a graph G = (V, E) is said to be h-magic if there exists a labeling l : E(G) → Zh − {0} such that the induced vertex labeling l+ : V (G) → Zh defined by l+ ...
ARSCOM
2007
14 years 9 months ago
2007
A subset D of the vertex set V of a graph is called an open oddd dominating set if each vertex in V is adjacent to an odd number of vertices in D (adjacency is irreflexive). In t...
ARSCOM
2007
14 years 9 months ago
2007
Let us denote by EX (m, n; {C4, . . . , C2t}) the family of bipartite graphs G with m and n vertices in its classes that contain no cycles of length less than or equal to 2t and h...