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» Properly Coloured Cycles and Paths: Results and Open Problem...
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BIRTHDAY
2009
Springer
14 years 2 days 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
DAM
1998
75views more  DAM 1998»
13 years 5 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...
DAM
2011
13 years 7 days ago
Powers of cycles, powers of paths, and distance graphs
In 1988, Golumbic and Hammer characterized powers of cycles, relating them to circular-arc graphs. We extend their results and propose several further structural characterizations ...
Min Chih Lin, Dieter Rautenbach, Francisco J. Soul...
COMBINATORICS
2002
104views more  COMBINATORICS 2002»
13 years 5 months ago
Exchange Symmetries in Motzkin Path and Bargraph Models of Copolymer Adsorption
In a previous work [26], by considering paths that are partially weighted, the generating function of Dyck paths was shown to possess a type of symmetry, called an exchange relati...
E. J. Janse van Rensburg, A. Rechnitzer
COMPGEOM
2004
ACM
13 years 9 months ago
Continuous path verification in multi-axis NC-machining
We introduce a new approach to the problem of collision detection between a rotating milling-cutter of an NC-machine and a model of a solid workpiece, as the rotating cutter conti...
Ron Wein, Oleg Ilushin, Gershon Elber, Dan Halperi...