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DM
2008
110views more  DM 2008»
13 years 10 months ago
Contractible subgraphs, Thomassen's conjecture and the dominating cycle conjecture for snarks
We show that the conjectures by Matthews and Sumner (every 4-connected claw-free graph is hamiltonian), by Thomassen (every 4-connected line graph is hamiltonian) and by Fleischne...
Hajo Broersma, Gasper Fijavz, Tomás Kaiser,...
DAGSTUHL
2007
13 years 11 months ago
Exact Elimination of Cycles in Graphs
One of the standard basic steps in drawing hierarchical graphs is to invert some arcs of the given graph to make the graph acyclic. We discuss exact and parameterized algorithms fo...
Daniel Raible, Henning Fernau
DAM
1998
75views more  DAM 1998»
13 years 9 months ago
Properly Coloured Hamiltonian Paths in Edge-coloured Complete Graphs
We consider edge-coloured complete graphs. A path or cycle Q is called properly coloured (PC) if any two adjacent edges of Q differ in colour. Our note is inspired by the followi...
Jørgen Bang-Jensen, Gregory Gutin, Anders Y...
RSA
2002
81views more  RSA 2002»
13 years 9 months ago
Decycling numbers of random regular graphs
: The decycling number (G) of a graph G is the smallest number of vertices which can be removed from G so that the resultant graph contains no cycles. In this paper, we study the d...
Sheng Bau, Nicholas C. Wormald, Sanming Zhou
ICALP
2000
Springer
14 years 1 months ago
Computing the Girth of a Planar Graph
We give an O(n log n) algorithm for computing the girth (shortest cycle) of an undirected n-vertex planar graph. Our solution extends to any graph of bounded genus. This improves u...
Hristo Djidjev