The article analyzes proverbs constituting the concept ‘friendship-enmity’. research was based on semantic analysis, syntactic cognitive analysis and descriptive method. Lak served as material for study. Lexical revealed following lexemes representing ‘friendship-enmity’: dus ‘friend’, dushivu ‘friendship’, hala-hurttushivu dushman ‘enemy’. most representative lexeme in this row is while least ...

let $n$ be any positive integer and let $f_n$ be the friendship (or dutch windmill) graph with $2n+1$ vertices and $3n$ edges. here we study graphs with the same adjacency spectrum as the $f_n$. two graphs are called cospectral if the eigenvalues multiset of their adjacency matrices are the same. let $g$ be a graph cospectral with $f_n$. here we prove that if $g$ has no cycle of length $4$ or $...

We investigate how personal characteristics affect people’s desire to collaborate and whether this attraction enhances or detracts from performance in venture capital. We find that venture capitalists who share the same ethnic, educational, or career background are more likely to syndicate with each other. This homophily reduces the probability of investment success, and the detrimental effect ...

In this paper we explore the friendship theorem, which in graph theory is stated as if we have a finite graph in which any two nodes have exactly one common neighbor, then Then there is a node which is adjacent to all other nodes. We provide a common proof of the friendship theorem, followed by two extensions. The first extension relates to the number of common neighbors a node must have. The s...

This Article's central argument is that the law needs to do a better job of recognizing, protecting, respecting, and promoting friendships. The law gives pride of place to other statuses-family and special professional relationships are obvious ones-but the status of the friend is rarely relevant to legal decisionmaking and public policymaking in a consistent way. After defining the concept of ...