We give a polynomial-time algorithm that computes the chromatic number of any graph that contains no path on five vertices and no bull as an induced subgraph (where the bull is the graph with five vertices $a,b,c,d,e$ and edges $ab,bc,cd,be,ce$)....
Let $M$ be an ordered matching of size $n$, that is, a partition of the set $[2n]$ into 2-element subsets. The sock number of $M$ is the maximum size of a sub-matching of $M$ in which all left-ends of the edges precede all the right-ends (such matchi...
Fix a graph $F$. We say that a graph is {\it $F$-free} if it does not contain $F$ as a subgraph. The {\it Turán number} of $F$, denoted $\mathrm{ex}(n,F)$, is the maximum number of edges possible in an $n$-vertex $F$-free graph. The study of Turán...
collaboration being "Edge of a Broken Heart," recorded by the female band Vixen. Waybill left the Tubes in 1986. Later in the year, the remaining members
Large Language Model (LLM)-based Multi-Agent Systems (MAS) enhance complex problem solving through multi-agent collaboration, but often incur substantially higher costs than single-agent systems. Recent MAS routing methods aim to balance performance...
We put recent results on the symmetry of the joint distribution of the numbers of crossings and nestings of two edges over matchings, set partitions and linked partitions, in the larger context of the enumeration of increasing and decreasing chains...
The reload cost refers to the cost that occurs along a path on an edge-colored graph when it traverses an internal vertex between two edges of different colors. Galbiati et al.[1] introduced the Minimum Reload Cost Cycle Cover problem, which is to fi...
Inkhosikati LaMbikiza, née Sibonelo Mngomezulu: The Gospel Singer". The Edge Search. Retrieved 16 July 2023. "Mngomezulu". 29 September 2013. "Rebel queen
Federated learning (FL) has been developed as a promising framework to leverage the resources of edge devices, enhance customers' privacy, comply with regulations, and reduce development costs. Although many methods and applications have been develop...
Bioprinting is a rapidly advancing field that offers a transformative approach to fabricating tissue and organ models through the precise deposition of cell-laden bioinks. Ensuring the fidelity and consistency of printed structures in real-time remai...
A web browser extension for Chrome, Firefox, Edge, and Safari 14. (⭐ 781)
POSITIONS" (PDF). AFL. Retrieved 28 March 2024. "How To Develop a Killer Backline: 5 Cutting Edge Strategies From Melbourne Football Club Assistant Coach
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The Primordial Inflation Polarization Explorer (PIPER) is a balloon-borne telescope mission to search for inflationary gravitational waves from the early universe. PIPER employs two 32x40 arrays of superconducting transition-edge sensors, which opera...
Smart roads have become an essential component of intelligent transportation systems (ITS). The roadside perception technology, a critical aspect of smart roads, utilizes various sensors, roadside units (RSUs), and edge computing devices to gather re...
A road map can be interpreted as a graph embedded in the plane, in which each vertex corresponds to a road junction and each edge to a particular road section. We consider the cartographic problem to place non-overlapping road labels along the edges...
for More Visibility". Edge Media Network. Archived from the original on 27 July 2021. Retrieved 27 July 2021. "Cleary follows her heart in search of a fresh
Cap, Mid Cap, and Small Cap Stocks". Financial Edge. Retrieved February 25, 2025. Chen, James (April 27, 2022). "Mega Cap: Companies With Market Caps
Install Microsoft 365 or Office 2024 on a PC Depending on your browser, select Run (in Microsoft Edge or Internet Explorer), Setup (in Chrome), or Save File (in Firefox). If you see the User Account …
We present sensitive ISO $λ6.7 μ$m observations of the edge-on galaxy, NGC 5529, finding an extensive MIR halo around NGC 5529. The emission is dominated by PAHs in this band. The PAH halo has an exponential scale height of 3.7 kpc but can still...