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» The Complexity of Graph Connectivity
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GD
2004
Springer
14 years 3 months ago
Really Straight Graph Drawings
We study straight-line drawings of graphs with few segments and few slopes. Optimal results are obtained for all trees. Tight bounds are obtained for outerplanar graphs, 2-trees, a...
Vida Dujmovic, Matthew Suderman, David R. Wood
DM
2008
69views more  DM 2008»
13 years 10 months ago
Connectedness of the graph of vertex-colourings
For a positive integer k and a graph G, the k-colour graph of G, Ck(G), is the graph that has the proper k-vertex-colourings of G as its vertex set, and two k-colourings are joine...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
CORR
2007
Springer
181views Education» more  CORR 2007»
13 years 10 months ago
A new lower bound on the independence number of a graph
For a given connected graph G on n vertices and m edges, we prove that its independence number α(G) is at least ((2m+n+2) -((2m+n+2)2 -16n2 )½ )/8. Keywords : independence numbe...
Ossama Kettani
DM
1998
56views more  DM 1998»
13 years 10 months ago
Factoring cardinal product graphs in polynomial time
In this paper a polynomial algorithm for the prime factorization of finite, connected nonbipartite graphs with respect to the cardinal product is presented. This algorithm also d...
Wilfried Imrich
ENDM
2010
122views more  ENDM 2010»
13 years 10 months ago
Complexity dichotomy on degree-constrained VLSI layouts with unit-length edges
Deciding whether an arbitrary graph admits a VLSI layout with unit-length edges is NP-complete [1], even when restricted to binary trees [7]. However, for certain graphs, the prob...
Vinícius G. P. de Sá, Celina M. Herr...