Gauss at Ox Quarter

MathDB 361178 的反例 一、反例 对图 $X$，记 $Z^+_{(1)}(X)$ 为它的 1-泄漏正半定强迫数。MathDB 361178 的猜想断言：对任意图 $X$ 和任意边 $f\in E(X)$， … 取顶点集 … 边集 … 取 $e=05$，并记 … 图 $G$ 的 graph6 编码为 HCRUVjY。下面将证明 … 因此 … 故…

A Counterexample to MathDB 337797 1. Counterexample MathDB 337797 states the following conjecture. If $A\in\{0,1\}^{n\times n}$ has the 2-consecutive-ones property, meaning that th…

A Counterexample to the Triangular Gröbner-Basis Conjecture for Chemical Reaction Networks Proposition The triangular Gröbner-basis conjecture of Ferrari et al. is false as stated.…

Parity observation. If $G$ is bipartite and $x,y$ lie in opposite bipartition classes, then

A Counterexample to the Chemical Antiregular Graph Conjecture For a chemical graph $G$ of order $n$, define … Here a chemical graph is a finite connected simple graph with maximum…