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CPC
2006
13 years 7 months ago
2006
We elucidate the close connection between the repulsive lattice gas in equilibrium statistical mechanics and the Lov
CPC
2006
13 years 7 months ago
2006
We study relational structures (especially graphs and posets) which satisfy the analogue of homogeneity but for homomorphisms rather than isomorphisms. The picture is rather diffe...
CPC
2006
13 years 7 months ago
2006
We generalize and unify results on parametrized and coloured Tutte polynomials of graphs and matroids due to Zaslavsky [Trans. Amer. Math. Soc. 334 (1992), 317-347] and Bollob
CPC
2006
13 years 7 months ago
2006
A Rayleigh matroid is one which satisfies a set of inequalities analogous to the Rayleigh monotonicity property of linear resistive electrical networks. We show that every matroid...
CPC
2006
13 years 7 months ago
2006
The adaption of combinatorial duality to infinite graphs has been hampered by the fact that while cuts (or cocycles) can be infinite, cycles are finite. We show that these obstruc...