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» Vertices of given degree in series-parallel graphs
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JGT
2010
81views more  JGT 2010»
13 years 3 months ago
Cycles and paths in edge-colored graphs with given degrees
Sufficient degree conditions for the existence of properly edge-colored cycles and paths in edge-colored graphs, multigraphs and random graphs are inverstigated. In particular, we...
A. Abouelaoualim, Kinkar Chandra Das, Wenceslas Fe...
COMBINATORICS
1999
73views more  COMBINATORICS 1999»
13 years 5 months ago
A [k, k+1]-Factor Containing A Given Hamiltonian Cycle
We prove the following best possible result. Let k 2 be an integer and G be a graph of order n with minimum degree at least k. Assume n 8k - 16 for even n and n 6k-13 for odd n...
Mao-cheng Cai, Yanjun Li, Mikio Kano
DISOPT
2011
240views Education» more  DISOPT 2011»
13 years 7 days ago
On the directed Full Degree Spanning Tree problem
We study the parameterized complexity of a directed analog of the Full Degree Spanning Tree problem where, given a digraph D and a nonnegative integer k, the goal is to construct a...
Daniel Lokshtanov, Venkatesh Raman, Saket Saurabh,...
CPC
2006
93views more  CPC 2006»
13 years 5 months ago
Distribution of Vertex Degree in Web-Graphs
We give results for the age dependent distribution of vertex degree and number of vertices of given degree in the undirected web-graph process, a discrete random graph process int...
Colin Cooper
JDA
2010
122views more  JDA 2010»
13 years 2 days ago
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
We present subexponential parameterized algorithms on planar graphs for a family of problems of the following shape: given a graph, find a connected (induced) subgraph with bounde...
Ignasi Sau, Dimitrios M. Thilikos