Results 31 to 40 of about 26,192 (266)
Smallest Cubic Graphs with Given Girth and Skewness [PDF]
The skewness of a graph is the minimum number of its edges whose deletion results in a planar graph. We determine the minimum orders of cubic graphs with girth no more than 6 and skewness no more than 4.
Ng Chii Liang +2 more
doaj +1 more source
The cubic fuzzy graph structure is a tool for modeling problems, in which there are two fuzzy values for each variable and the relationships between them that cannot be expressed as a single fuzzy number.
Xiaolong Shi +4 more
doaj +1 more source
The Number of Blocks of a Graph with Given Minimum Degree
A block of a graph is a nonseparable maximal subgraph of the graph. We denote by bG the number of block of a graph G.
Lei Li, Baoyindureng Wu
doaj +1 more source
We show that every 3-regular circle graph has at least two pairs of twin vertices; consequently no such graph is prime with respect to the split decomposition. We also deduce that up to isomorphism, K_4 and K_{3,3} are the only 3-connected, 3-regular circle graphs.
openaire +4 more sources
The Planar Cubic Cayley Graphs [PDF]
We obtain a complete description of the planar cubic Cayley graphs, providing an explicit presentation and embedding for each of them. This turns out to be a rich class, comprising several infinite families. We obtain counterexamples to conjectures of Mohar, Bonnington and Watkins.
openaire +2 more sources
ErB4 and NdB4 nanostructured powders are produced by mechanochemical synthesis. 5 h mechanical alloying and 4 M HCl acid leaching are used in the production. ErB4 and NdB4 powders exhibit maximum magnetization of 0.4726 emu g−1 accompanied with an antiferromagnetic‐to‐paramagnetic phase transition at about TN = 18 K and 0.132 emu g−1 with a maximum at ...
Burçak Boztemur +5 more
wiley +1 more source
On Symmetry of Complete Graphs over Quadratic and Cubic Residues
In this study, we investigate two graphs, one of which has units of a ring Zn as vertices (or nodes) and an edge will be built between two vertices u and v if and only if u3≡v3mod n. This graph will be termed as cubic residue graph.
M. Haris Mateen +3 more
doaj +1 more source
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker +5 more
wiley +1 more source
We introduce a nucleic acid nanoparticle (NANP) platform designed to be rrecognized by the human innate immune system in a regulated manner. By changing chemical composition while maintaining constant architectural parameters, we identify key determinants of immunorecognition enabling the rational design of NANPs with tunable immune activation profiles
Martin Panigaj +21 more
wiley +1 more source
Core Index of Perfect Matching Polytope for a 2-Connected Cubic Graph
For a 2-connected cubic graph G, the perfect matching polytope P(G) of G contains a special point xc=(13,13,…,13)$x^c = \left( {{1 \over 3},{1 \over 3}, \ldots ,{1 \over 3}} \right)$ . The core index ϕ(P(G)) of the polytope P(G) is the minimum number of
Wang Xiumei, Lin Yixun
doaj +1 more source

