4 papers · 1 filter
Arboricity and Simplicial Geometric Category of Wedges and Joins of Graphs
Nursultan Kuanyshov, Islam Yeginbay
We investigate the behavior of arboricity under two fundamental graph operations, namely wedges and joins, proving an exact formula for wedges and establishing general upper and lo…
Sequential -contiguity distance
Nilay Ekiz Yazici, Nursultan Kuanyshov, Ayse Borat
In this paper, we introduce the notion of sequential -contiguity distance for finitely many simplicial maps as a higher analogue of contiguity distance. This invariant generaliz…
Cohomological dimension of a Lie algebra homomorphism
Nursultan Kuanyshov
We introduce the notions of the cohomological dimension and the homological dimension of Lie algebra homomorphisms, extending the corresponding invariants for group homomorphisms.…
m-Contiguity Distance
Nilay Ekiz Yazici, Nursultan Kuanyshov, Ayse Borat
In this paper, we systematically develop the -contiguity distance between simplicial maps as a discrete approximation framework for homotopical complexity in the category of sim…