Results 21 to 30 of about 144,275 (215)
Combinatorial optimization in networks with Shared Risk Link Groups [PDF]
The notion of Shared Risk Link Groups (SRLG) captures survivability issues when a set of links of a network may fail simultaneously. The theory of survivable network design relies on basic combinatorial objects that are rather easy to compute in the ...
David Coudert +3 more
doaj +1 more source
Supersymmetry and Combinatorics [PDF]
We show how a recently proposed supersymmetric quantum mechanics model leads to non-trivial results/conjectures on the combinatorics of binary necklaces and linear-feedback shift-registers. Pauli's exclusion principle plays a crucial role: by projecting out certain states/necklaces, it allows to represent the supersymmetry algebra in the resulting ...
ONOFRI, Enrico, G. VENEZIANO, J. WOSIEK
openaire +5 more sources
On Proper (Strong) Rainbow Connection of Graphs
A path in an edge-colored graph G is called a rainbow path if no two edges on the path have the same color. The graph G is called rainbow connected if between every pair of distinct vertices of G, there is a rainbow path.
Jiang Hui +3 more
doaj +1 more source
Pareto optimal compositions of alloy catalyst for oxygen reduction reaction are uncovered through multi‐objective Bayesian optimization of activity, stability, and material cost in an eight‐element high‐entropy alloy composition space. The substantial Pareto front obtained is compared to experimental literature and analyzed to elucidate the roles and ...
Mads K. Plenge +4 more
wiley +2 more sources
On the combinatorics of plethysm
The preceding review of A. Kerber comprises both articles, the one reviewed there and the present one, in a joint review. The reader is therefore kindly requested to read the preceding review.
Oscar, A., Nava, Z.
openaire +2 more sources
Hypernatural Numbers as Ultrafilters [PDF]
In this paper we present a use of nonstandard methods in the theory of ultrafilters and in related applications to combinatorics of ...
A Blass +27 more
core +2 more sources
Rainbow Vertex-Connection and Forbidden Subgraphs
A path in a vertex-colored graph is called vertex-rainbow if its internal vertices have pairwise distinct colors. A vertex-colored graph G is rainbow vertex-connected if for any two distinct vertices of G, there is a vertex-rainbow path connecting them ...
Li Wenjing, Li Xueliang, Zhang Jingshu
doaj +1 more source
General Randic matrix and general Randi'c energy [PDF]
Let $G$ be a simple graph with vertex set $V(G) = {v_1, v_2,ldots , v_n}$ and $d_i$ the degree of its vertex $v_i$, $i = 1, 2, cdots, n$. Inspired by the Randi'c matrix and the general Randi'c index of a graph, we introduce the concept of general ...
Ran Gu;, Fei Huang, Xueliang Li
doaj
Erdős-Gallai-Type Results for Total Monochromatic Connection of Graphs
A graph is said to be total-colored if all the edges and the vertices of the graph are colored. A total-coloring of a graph is a total monochromatically-connecting coloring (TMC-coloring, for short) if any two vertices of the graph are connected by a ...
Jiang Hui, Li Xueliang, Zhang Yingying
doaj +1 more source
On interval number in cycle convexity [PDF]
Recently, Araujo et al. [Manuscript in preparation, 2017] introduced the notion of Cycle Convexity of graphs. In their seminal work, they studied the graph convexity parameter called hull number for this new graph convexity they proposed, and they ...
Julio Araujo +3 more
doaj +1 more source

