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DM
2008
129views more  DM 2008»
13 years 8 months ago
On 3-regular 4-ordered graphs
A simple graph G is k-ordered (respectively, k-ordered hamiltonian), if for any sequence of k distinct vertices v1, . . . , vk of G there exists a cycle (respectively, hamiltonian...
Karola Mészáros
GLOBECOM
2010
IEEE
13 years 6 months ago
A Distributed Wake-Up Scheduling for Opportunistic Forwarding in Wireless Sensor Networks
In wireless sensor networks (WSNs), sensor nodes are typically subjected to energy constraints and often prone to topology changes. While duty cycling has been widely used for ener...
Chul-Ho Lee, Do Young Eun
BIRTHDAY
2009
Springer
14 years 3 months ago
Properly Coloured Cycles and Paths: Results and Open Problems
In this paper, we consider a number of results and six conjectures on properly coloured (PC) paths and cycles in edge-coloured multigraphs. We overview some known results and prov...
Gregory Gutin, Eun Jung Kim
AAIM
2010
Springer
144views Algorithms» more  AAIM 2010»
14 years 1 months ago
Kernelization for Cycle Transversal Problems
Abstract. We present new kernelization results for the s-cycle transversal problem for s > 3. In particular, we show a 6k2 kernel for 4-cycle transversal and a O(ks−1 ) kernel...
Ge Xia, Yong Zhang
JGT
2007
54views more  JGT 2007»
13 years 8 months ago
Overlap in consistent cycles
: A (directed) cycle C in a graph is called consistent provided there exists an automorphism of , acting as a 1-step rotation of C. A beautiful but not well-known result of J.H. Co...
Stefko Miklavic, Primoz Potocnik, Steve Wilson