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- Technion – Israel Institute of TechnologyIL151 papers
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7 papers · 2 filters
A spectral bound for graph irregularity
Felix Goldberg
The imbalance of an edge in a graph is defined as , where is the vertex degree. The irregularity of is then defined as the sum o…
Normal ordering problem and the extensions of the Stirling grammar
Shi-Mei Ma, Toufik Mansour, Matthias Schork
The purpose of this paper is to investigate the connection between context-free grammars and normal ordering problem, and then to explore various extensions of the Stirling grammar…
Congruence successions in compositions
Toufik Mansour, Mark Shattuck, Mark C. Wilson
A \emph{composition} is a sequence of positive integers, called \emph{parts}, having a fixed sum. By an \emph{-congruence succession}, we will mean a pair of adjacent parts …
Recurrence relations for patterns of type in flattened permutations
Toufik Mansour, Mark Shattuck, David G. L. Wang
We consider the problem of counting the occurrences of patterns of the form within flattened permutations of a given length. Using symmetric functions, we find recurrence re…
Partial k-Parallelisms in Finite Projective Spaces
Tuvi Etzion
In this paper we consider the following question. What is the maximum number of pairwise disjoint -spreads which exist in PG(n,q)? We prove that if k+1 divides n+1 and n>k then…
On Multiple Pattern Avoiding Set Partitions
Vít Jelínek, Toufik Mansour, Mark Shattuck
We study classes of set partitions determined by the avoidance of multiple patterns, applying a natural notion of partition containment that has been introduced by Sagan. We say th…