Consider two locally finite rooted trees as equivalent if each of them is a topological minor of the other, with an embedding preserving the tree-order. Answering a question of van der Holst, we prove that there are uncountably many equivalence classes.

It is proved that there are functions f (r) and N(r, s) such that for every positive integer r , s, each graph G with average degree d(G) = 2|E(G)|/|V (G)| ≥ f (r), and with at least N(r, s) vertices has a minor isomorphic to Kr,s or to the union of s disjoint copies of Kr . © 2005 Published by Elsevier Ltd

For nearly two decades, researchers have investigated spatial sequence learning in an attempt to identify what specifically is learned during sequential tasks (e.g., stimulus order, response order, etc.). Despite extensive research, controversy remains concerning the information-processing locus of this learning effect. There are three main theories concerning the nature of spatial sequence lea...

Abstract This article examines a ḥadīth text that illustrates the complicated interactions between Christian and Islamic sacred spaces in early period of rule Near East. In this narrative, Prophet Muḥammad gives group Arabs instructions for how to convert church into mosque, telling them use his ablution water cleansing repurposing space Muslim worship. Contextualizing narrative terms Muslim-Ch...

Maroua, the capital of Far North Cameroon, is frequently affected by outbreaks waterborne diseases. Waters stored in public clay pots are common city and provided voluntarily individuals for drinking ablution. Yet, such service through water lacks management surveillance. If contaminated, may pose infection transmission risks diseases among population. The quality 95 randomly selected was asses...