Background: There is still a question of whether online friendship predicts changes in face-to-face friendship (Reduction Hypothesis) or face-to-face friendship predicts changes in online friendship (Compensation Hypothesis) during adolescence. Objective: The purpose of this study was to compare these two hypotheses to determine which comes first: online friendship or offline friendship. Method...

ON GRAPHS SATISFYING A STRONG ADJACENCY PROPERTY Y. Ananchuen and L. Caccetta School of Mathematics and Statistics Curtin University of Technology GPO Box U1987 Perth 6001 Western Australia. Dedicated to the memory of Alan Rahilly, 1947 1992 Let m and n be nonnegative integers and k be a positive integer. A graph G is said to have property P*(m,n,k) if for any set of m + n distinct vertices of ...

The “friendship paradox” (Feld (1991)) refers to the fact that, on average, people have strictly fewer friends than their friends have. I show that this over-sampling of the most popular people amplifies behaviors that involve complementarities. People with more friends experience greater complementarities and hence take more extreme actions. Given the friendship paradox, people then perceive m...

Received: December 16, 2010 Accepted: December 31, 2010 doi:10.5539/jmr.v3n2p206 Abstract In this paper we investigate product cordial labeling for some new graphs. We prove that the friendship graph, cycle with one chord (except when n is even and the chord joining the vertices at diameter distance), cycle with twin chords (except when n is even and one of the chord joining the vertices at dia...

Friendship pervades the human social landscape. These bonds are so important that disrupting them leads to health problems, and difficulties forming or maintaining friendships attend neuropsychiatric disorders like autism and depression. Other animals also have friends, suggesting that friendship is not solely a human invention but is instead an evolved trait. A neuroethological approach applie...

The increasingly booming online social networks promote the development of online health forum. People tend to solve kinds of health issues through the Internet. However, it is still unclear what the main characteristics of friendship networks are and how the users’ attribution affect the friendship ties establishment in the online health forum. This study uses the Exponential Random Graph Mode...

For any simple graph H, let σ(H,n) be the minimum m so that for any realizable degree sequence π = (d1, d2, . . . , dn) with sum of degrees at least m, there exists an n-vertex graph G witnessing π that contains H as a weak subgraph. Let Fk denote the friendship graph on 2k+1 vertices, that is, the graph of k triangles intersecting in a single vertex. In this paper, for n sufficiently large, σ(...