Results 51 to 60 of about 3,543,110 (254)
To Prove Four Color Theorem [PDF]
In this paper, we give a proof for four color theorem(four color conjecture). Our proof does not involve computer assistance and the most important is that it can be generalized to prove Hadwiger Conjecture. Moreover, we give algorithms to color and test
Cao, Weiwei, Yue, Weiya
core
An Improved Fixed-Parameter Algorithm for One-Page Crossing Minimization [PDF]
Book embedding is one of the most well-known graph drawing models and is extensively studied in the literature. The special case where the number of pages is one is of particular interest: an embedding in this case has a natural circular representation ...
Kobayashi, Yasuaki+2 more
core +1 more source
To address the low energy conversion efficiency under random, ultra‐low‐frequency ocean excitations, this study introduces a novel bistable multilayer triboelectric nanogenerator (BM‐TENG) for efficient ocean energy harvesting and self‐powered marine sensing.
Yi Guan+7 more
wiley +1 more source
Graphs with Small Book Thickness
In an article published in 1979, Kainen and Bernhart [1] laid the groundwork for further study of book embeddings of graphs. They define an n-book as a line L in 3-space, called the spine, and n half-planes, called pages, with L as their common boundary.
Shannon Overbay
semanticscholar +1 more source
A method has been proposed for establishing experimentally the optimum ratio of the thickness of a W-shaped adhesive layer of the spine part of a book block sewn with threads to the necessary and sufficient efforts that are applied for its bending in the
P. Kyrychok, O. Paliukh, V. Oliynyk
semanticscholar +1 more source
On Dispersable Book Embeddings [PDF]
In a dispersable book embedding, the vertices of a given graph $G$ must be ordered along a line l, called spine, and the edges of G must be drawn at different half-planes bounded by l, called pages of the book, such that: (i) no two edges of the same ...
J. Alam+4 more
semanticscholar +1 more source
[Study of Kuya Batok (Cuoro Ambonensis) Early Growth’s in UNIB Forestry Pond and its Implementation as Teaching Materials on Vertebrate Zoology]. The goal of this study was to know the growth of C.
Indah Maryani+3 more
doaj +1 more source
Twist Grain Boundary Phases in Proper Ferroelectric Liquid Crystals Realm
A new type of twist‐grain‐boundary (TGB) phases, with a periodic, helical arrangement of ferroelectric smectic blocks, are reported, formed by molecules with giant longitudinal dipole moment. They emerge below the antiferroelectric smectic phase, and their structure is governed by electrostatic interactions amplified by weak chiral forces.
Damian Pociecha+9 more
wiley +1 more source
Hydrogen is an energy carrier, produced from renewable and nonrenewable resources. It can be stored in a variety of materials and transported to distant locations. This article reviews progress in hydrogen technology by looking at environmental and economic impact, cost analysis, and policy support at government level as way forward for bringing it to ...
Xuexue Pan+5 more
wiley +1 more source
Crossing Minimization for 1-page and 2-page Drawings of Graphs with Bounded Treewidth
We investigate crossing minimization for 1-page and 2-page book drawings. We show that computing the 1-page crossing number is fixed-parameter tractable with respect to the number of crossings, that testing 2-page planarity is fixed-parameter tractable ...
Bannister, Michael J., Eppstein, David
core +1 more source