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BIRTHDAY
2009
Springer
16 years 23 days ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid
BIRTHDAY
2009
Springer
16 years 23 days ago
No Syllogisms for the Numerical Syllogistic
The numerical syllogistic is the extension of the traditional syllogistic with numerical quantifiers of the forms at least C and at most C. It is known that, for the traditional s...
Ian Pratt-Hartmann
BIRTHDAY
2009
Springer
16 years 23 days ago
On Lazy Commutation
Abstract. We investigate combinatorial commutation properties for reordering a sequence of two kinds of steps, and for separating wellfoundedness of unions of relations. To that en...
Nachum Dershowitz
BIRTHDAY
2009
Springer
16 years 23 days ago
On Path Partitions and Colourings in Digraphs
We provide a new proof of a theorem of Saks which is an extension of Greene’s Theorem to acyclic digraphs, by reducing it to a similar, known extension of Greene and Kleitman’s...
Irith Ben-Arroyo Hartman
BIRTHDAY
2009
Springer
16 years 23 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