Average degree conditions forcing a minor

Mader first proved that high average degree forces a given graph as a minor. Often motivated by Hadwiger's Conjecture, much research has focused on the average degree required to force a complete graph as a minor. Subsequently, various authors have consider the average degree required to force an arbitrary graph $H$ as a minor. Here, we strengthen (under certain conditions) a recent result by Reed and Wood, giving better bounds on the average degree required to force an $H$-minor when $H$ is a sparse graph with many high degree vertices. This solves an open problem of Reed and Wood, and also generalises (to within a constant factor) known results when $H$ is an unbalanced complete bipartite graph

Forcing a sparse minor

This paper addresses the following question for a given graph $H$: what is the minimum number $f(H)$ such that every graph with average degree at least $f(H)$ contains $H$ as a minor? Due to connections with Hadwiger's Conjecture, this question has been studied in depth when $H$ is a complete graph. Kostochka and Thomason independently proved that $f(K_t)=ct\sqrt{\ln t}$. More generally, Myers and Thomason determined $f(H)$ when $H$ has a super-linear number of edges. We focus on the case when $H$ has a linear number of edges. Our main result, which complements the result of Myers and Thomason, states that if $H$ has $t$ vertices and average degree $d$ at least some absolute constant, then $f(H)\leq 3.895\sqrt{\ln d}\,t$. Furthermore, motivated by the case when $H$ has small average degree, we prove that if $H$ has $t$ vertices and $q$ edges, then $f(H) \leq t+6.291q$ (where the coefficient of 1 in the $t$ term is best possible)

Pressure Treated Wood

Discusses chemical treatments to increase wood's fire resistance and protect it from rot and termites

4-H Handicraft Guide: Wood Craft

Handicraft work with wood offers 4-H members an .excellent opportunity to learn the fundamentals of wood working, including construction, identification, and finishing. Tool identification and care will be studied. This project is not designed to develop skilled carpenters but will equip you with the ability to plan and make many of your own personal wood articles

4-H Wood Refinishing

4-H member refinishing a piece of woodhttps://scholarsjunction.msstate.edu/ua-photo-collection/8323/thumbnail.jp

Potentials of cellulosic wastes in media formulation

Potential use of cellulosic wastes as carbon and energy sources in selective media formulations was investigated. Two agar media, Czapek-Dox and Sabouraud’s agar, were modified by substituting their carbon sources with cellulose, sawdust and sugarcane pulps. Then, two fungi; Aspergillus niger ANL301 and Penicillium chrysogenum PCL501, newly isolated from wood-wastes, were transferred to the unmodified and modified media and their growth was monitored for 120 h. Growth of the organisms on modified media containing sawdust and sugarcane pulp compared favorably with that obtained for the unmodified equivalents. Modified Czapek-Dox agar containing 2% (w/v) sawdust (Wood agar) and sugarcane pulps (Cane agar) gave 78.9 – 93.3% of the maximum growth obtained on Sabouraud’s agar. The modified Sabouraud’s agar containing sawdust (Wood-Pep agar) and sugarcane pulps (Cane-Pep agar) yielded 84.4 – 100% of the maximum growth on Sabouraud’s agar. Cellulose-containing media gave a lower level of growth (60.0 – 66.7%) of that obtained for the unmodified media

Ceramic Vessels from Caddo Sites in Wood County, Texas

This article concerns the documentation of 54 ceramic vessels in the collections of the Texas Archeological Research Laboratory at The University of Texas at Austin (TARL) from seven ancestral Caddo sites in Wood County in East Texas (Figure 1). This includes vessels from A. C. Gibson (41WD1, n=2 vessels), J. H. Reese (41WD2, n=26), H. D. Spigner (41WD4, n=17), Mattie Dial (41WD5, n=2), B. F. Cathey (41WD14, n=2), J. H. Baker (41WD33, n=4), and 41WD117 (n=1 vessel). The A. C. Gibson site is situated in the floodplain of the Sabine River near the confluence with Cottonwood Creek. In 1932, looters had dig in a midden deposit (with many mussel shells) and exposed one ancestral Caddo burial with two vessels. In 1934, University of Texas archaeologists excavated two more burials (S-1 and S-2) in the midden. Burial S-1 was that of a child, in a flexed position; this burial had no associated funerary offerings. Burial S-2 held two individuals in an extended supine position in an east-west oriented grave. This burial had two ceramic vessels and a rounded elbow pipe as funerary offerings. The TARL files also indicate that at least three ancestral Caddo burials were excavated by amateur archaeologists prior to the 1970s, and at least one burial had associated ceramic vessels. The nearby Son Gibson Farm site (41WD518) is reported to have had sherds from Sanders Slipped, Sanders Engraved, Canton Incised, and Maxey Noded Redware vessels, and it may be contemporaneous with the burials at the A. C. Gibson site

Quonsets 8-11

Entry created by John H. Herrick January 7, 1975John H. Herrick Archives: Documenting Structures at The Ohio State UniversityThe University Archives has determined that this item is of continuing value to OSU's history.Quonsets 8-11 are located at rear of Laneview School (Building 139). Building 166 - 2383 Wood Avenue Building 167 - 2381 Wood Avenue Building 168 - 2379 Wood Avenue Building 169 - 2375 Wood Avenue. Never officially named by Board of Trustees action. Alternate names include "Laneview Quonsets"