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» Total and fractional total colourings of circulant graphs
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SIAMDM
2010
138views more  SIAMDM 2010»
13 years 3 months ago
The Last Fraction of a Fractional Conjecture
Reed conjectured that for every ε > 0 and every integer ∆, there exists g such that the fractional total chromatic number of every graph with maximum degree ∆ and girth at...
Frantisek Kardos, Daniel Král', Jean-S&eacu...
DM
2008
72views more  DM 2008»
13 years 5 months ago
(p, 1)-Total labelling of graphs
A (p, 1)-total labelling of a graph G is an assignment of integers to V (G) E(G) such that: (i) any two adjacent vertices of G receive distinct integers, (ii) any two adjacent ed...
Frédéric Havet, Min-Li Yu
CORR
2004
Springer
94views Education» more  CORR 2004»
13 years 4 months ago
Track Layouts of Graphs
A (k, t)-track layout of a graph G consists of a (proper) vertex t-colouring of G, a total order of each vertex colour class, and a (non-proper) edge k-colouring such that between...
Vida Dujmovic, Attila Pór, David R. Wood
GD
2004
Springer
13 years 10 months ago
Layouts of Graph Subdivisions
A k-stack layout (respectively, k-queue layout) of a graph consists of a total order of the vertices, and a partition of the edges into k sets of non-crossing (non-nested) edges wi...
Vida Dujmovic, David R. Wood
APN
1995
Springer
13 years 8 months ago
Modular State Space Analysis of Coloured Petri Nets
State Space Analysis is one of the most developed analysis methods for Petri Nets. The main problem of state space analysis is the size of the state spaces. Several ways to reduce ...
Søren Christensen, Laure Petrucci