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» A Note on Graph Pebbling
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87
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JCT
2010
79views more  JCT 2010»
14 years 8 months ago
Vertex-coloring edge-weightings: Towards the 1-2-3-conjecture
Abstract. A weighting of the edges of a graph is called vertexcoloring if the weighted degrees of the vertices yield a proper coloring of the graph. In this paper we show that such...
Maciej Kalkowski, Michal Karonski, Florian Pfender
79
Voted
GD
2004
Springer
15 years 3 months ago
Drawing Power Law Graphs
It has been noted that many realistic graphs have a power law degree distribution and exhibit the small world phenomenon. We present drawing methods influenced by recent developm...
Reid Andersen, Fan R. K. Chung, Lincoln Lu
EJC
2008
14 years 10 months ago
Locally constrained graph homomorphisms and equitable partitions
We explore the connection between locally constrained graph homomorphisms and degree matrices arising from an equitable partition of a graph. We provide several equivalent charact...
Jirí Fiala, Daniël Paulusma, Jan Arne ...
88
Voted
DAM
1998
75views more  DAM 1998»
14 years 10 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...
90
Voted
DM
1998
95views more  DM 1998»
14 years 10 months ago
An Euler-type formula for median graphs
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi´c’s relation Θ defined on the edge-set of G. Then 2n − m −...
Sandi Klavzar, Henry Martyn Mulder, Riste Skrekovs...