A magical approach to some labeling conjectures

Some new families of definite polynomials and the composition conjectures

The planar polynomial vector fields with a center at the origin can be written as an scalar differential equation, for example Abel equation. If the coefficients of an Abel equation satisfy the composition condition, then the Abel equation has a center at the origin. Also the composition condition is sufficient for vanishing the first order moments of the coefficients. The composition conjectur...

Adapted Magic A Critique of the Adaptation of Magical Realism in Iran

Magical realism was one of the trends that quickly became known, translated, and imitated in Iran's fiction. The first time the door to magic realism was opened to Iranian literature was when Ahmad Mir-alai, translated the short stories of Borges. After him, Bahman Farzaneh, with a translation of One Hundred Years of Solitude, introduced the Iranian community to magical realism. This trend used...

Connections between labellings of trees

There are many long-standing conjectures related with some labellings of trees. It is important to connect labellings that are related with conjectures. We find some connections between known labellings of simple graphs.

Critique of Critiques/An Answer to Domesticated Magic: A Critique of the Domestication of Magical Realism in Iran, Mohsen Hanif

$Z_k$-Magic Labeling of Some Families of Graphs

For any non-trivial abelian group A under addition a graph $G$ is said to be $A$-textit{magic}  if there exists a labeling $f:E(G) rightarrow A-{0}$ such that, the vertex labeling $f^+$  defined as $f^+(v) = sum f(uv)$ taken over all edges $uv$ incident at $v$ is a constant. An $A$-textit{magic} graph $G$ is said to be $Z_k$-magic graph if the group $A$ is $Z_k$  the group of integers modulo $k...