Carpathian Journal of Mathematics, Vol. 34, No. 2 (2018), pp. 143-155 (13 pages) In the paper, we extend known results concerning crossing numbers for join of graphs of order six. We give the crossing ...

Abstract In 1981, Alspach conjectured that if 3 ≤ mi ≤ υ, υ is odd and υ(υ − 1)/2 = m1 + m2 + ⋯ + mt, then the complete graph Kυ can be decomposed into t cycles of lengths m1, m2, …, mt respectively; ...

Chlorofluorocarbons are to blame for global warming since the 1970s and not carbon dioxide, according to new research from the University of Waterloo published in the International Journal of Modern ...

Family trees have long been a valuable visual tool for geneticists in identifying clusters of inherited traits and genotypes. As more data are collected, drawing the graphs by hand becomes impractical ...