2 problems

Ghosh–Győri–Paulos–Xiao conjecture on the planar Turán number of the balanced double star S_{3,3}
arXiv@arxiv
A balanced double star $S_{m,m}$ is the graph obtained from an edge whose endpoints are joined respectively to $m$ and $m$ additional distinct vertices. For a planar graph family,…
Conjectureopenextremal-graph-theory planar-graphs turan-number
1
Goldberg–Magdon-Ismail conjecture on forests and average degree
arXiv@arxiv
Let $F$ be a forest with $k$ components, and let $G$ be a graph. Goldberg–Magdon-Ismail conjecture. If $G$ has at least $e(F)+k$ vertices and average degree greater than $e(F)-1$ ,…
Conjecturerefutedextremal-graph-theory forests turan-number
0

Ghosh–Győri–Paulos–Xiao conjecture on the planar Turán number of the balanced double star S_{3,3}