On Graphs Having no Flow Roots in the Interval $(1, 2)$

Graphs with Chromatic Roots in the Interval (1, 2)

We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negative. In addition, we briefly consider other graph classes that are conjectured to have no chromatic roots in (1, 2).

A pr 2 00 7 Graphs with chromatic roots in the interval ( 1 , 2 ) Gordon F . Royle School of Computer Science & Software Engineering University of Western Australia

We present an infinite family of 3-connected non-bipartite graphs with chromatic roots in the interval (1, 2) thus resolving a conjecture of Jackson’s in the negative. In addition, we briefly consider other graph classes that are conjectured to have no chromatic roots in (1, 2).

On planar and non-planar graphs having no chromatic zeros in the interval (1, 2)

We exhibit a family of 2-connected graphs which is closed under certain operations, and show that each graph in the family has no chromatic zeros in the interval (1,2). The family contains not only collections of graphs having no certain minors, but also collections of plane graphs, including near-triangulations found by Birkhoff and Lewis [Chromatic polynomials, Trans. Amer. Math. Soc. 60 (194...

بررسی تأثیر جریان و شیب ساحل رودخانه بر سامانه ریشه درختان پده

Assessing the root system and its tensile strength is necessary for determine the impact of roots in increasing the soil shear strength. The present study aims to investigate effects of slope and flow of riverbank on root system of riparian POPULOYS trees. In a relatively direct interval, 6 riparian POPULOYS trees were chosen on the slope of Simereh riverbank. To assess the root system, the cir...

On group Elements Having Square Roots