9 search results - page 1 / 2 » Cycles of even lengths modulo k |
JGT
2010
13 years 2 months ago
2010
Thomassen [9] conjectured that for all natural numbers k > 0 and m, every graph of minimum degree k + 1 contains a cycle of length congruent to 2m modulo k. We prove that this ...
CPC
2000
13 years 7 months ago
2000
A recently posed question of H
ICALP
1994
Springer
13 years 11 months ago
1994
Springer
We describe efficient algorithms for finding even cycles in undirected graphs. Our main results are the following: (i) For every k 2, there is an O(V 2) time algorithm that decide...
GC
2002
Springer
13 years 7 months ago
2002
Springer
We prove that for every c > 0 there exists a constant K = K(c) such that every graph G with n vertices and minimum degree at least cn contains a cycle of length t for every even...
JCT
2008
13 years 7 months ago
2008
A graph G is k-linked if G has at least 2k vertices, and for every sequence x1, x2, . . . , xk, y1, y2, . . . , yk of distinct vertices, G contains k vertex-disjoint paths P1, P2,...