The collapsibility of hexagon 2-complexes with the 12-property.
The dependence of some logical axioms on disjoint transversals and linked systems
The distance between a graph and its complement
The existence of 2-factors in squares of graphs
The forcibly-tree and forcibly-unicyclic degree sequences.
The Hadwiger number of an infinite graph
The intersection graph on an ordered commutative semigroup.
The join of graphs and the binding minimality
The lattice of integral flows and the lattice of integral cuts on a finite graph
The min-max supergraph
The neighborhood characteristic parameter for graphs.
The Number of Non-Isomorphic Hamiltonian Circuits in an -Dimensional Cube
The orientability of the direct product of graphs
The path space of a higher-rank graph
We construct a locally compact Hausdorff topology on the path space of a finitely aligned k-graph Λ. We identify the boundary-path space ∂Λ as the spectrum of a commutative C*-subalgebra of C*(Λ). Then, using a construction similar to that of Farthing, we construct a finitely aligned k-graph Λ̃ with no sources in which Λ is embedded, and show that ∂Λ is homeomorphic to a subset of ∂Λ̃. We show that when Λ is row-finite, we can identify C*(Λ) with a full corner of C*(Λ̃), and deduce that is isomorphic...
The Reconstruction of a Connected Graph from its Spanning Trees
The Regulation Number of a Graph
The sandwich theorem.
The skeleta of convex bodies
The connectivity and measure theoretic properties of the skeleta of convex bodies in Euclidean space are discussed, together with some long standing problems and recent results.
The Spectrum Of Line Graphs Of Some Infinite Graphs
Three classes of diameter edge-invariant graphs