d 2,n 2 ) is a bipartite graphical sequence, if there is a bipartite graph G with degrees {D 1 , D 2 } (i.e., G has two independent vertex sets In other words, {D 1 , D 2 } is a bipartite graphical sequence if and only if there is an n 1 1 n 2 matrix of 0's and 1's having d 1j 1 1's in row j 1 and
Triangulating a Surface with a Prescribed Graph
β Scribed by C. Thomassen
- Publisher
- Elsevier Science
- Year
- 1993
- Tongue
- English
- Weight
- 414 KB
- Volume
- 57
- Category
- Article
- ISSN
- 0095-8956
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π SIMILAR VOLUMES
For a graph G, let ' 2 (G ) denote the minimum degree sum of a pair of nonadjacent vertices. We conjecture that if |V(G)| n i 1 k a i and ' 2 (G ) ! n k Γ 1, then for any k vertices v 1 , v 2 , F F F , v k in G, there exist vertex-disjoint paths P 1 , P 2 , F F F , P k such that |V (P i )| a i and v
Let H=(V H , E H ) be a graph, and let k be a positive integer. A graph G=(V G , E G ) is H-coverable with overlap k if there is a covering of the edges of G by copies of H such that no edge of G is covered more than k times. Denote by overlap(H, G) the minimum k for which G is H-coverable with over