{wiki=Hypercube_graph}

A **hypercube graph**, often denoted as \\( Q_n \\), is a graph that represents the relationships between the vertices of an \\( n \\)-dimensional hypercube. The vertices of the hypercube correspond to the binary strings of length \\( n \\), and there is an edge between two vertices if the corresponding binary strings differ in exactly one bit position.


Hypercube graph

{wiki=Johnson_graph}

A Johnson graph, denoted as \\( J(n, k) \\), is a type of vertex-transitive graph that represents the relationships between the \\( k \\)-element subsets of an \\( n \\)-element set. Specifically, the vertices of a Johnson graph are the \\( k \\)-element subsets of a set with \\( n \\) elements, and there is an edge between two vertices (subsets) if their intersection has exactly \\( k-1 \\) elements.


Johnson graph

{wiki=Klein_graphs}

Klein graphs, or Klein four graphs, refer to a mathematical concept involving a specific type of graph related to group theory. The most referenced Klein graph is the **Klein four-group**, often denoted as \\( V_4 \\) or \\( K_4 \\). This is a group consisting of four elements that can be represented as the additive group of the vector space over the field with two elements.


Klein graphs

{wiki=Kneser_graph}

A Kneser graph \\( K(n, k) \\) is a graph defined using the combinatorial structure of sets. Specifically, it is constructed from the set of all \\( k \\)-element subsets of an \\( n \\)-element set. The vertices of the Kneser graph correspond to these \\( k \\)-element subsets, and two vertices (i.e., subsets) are adjacent if and only if the corresponding subsets are disjoint.


Kneser graph

{wiki=Laves_graph}

The term "Laves graph" does not refer to a widely recognized concept in mathematics, graph theory, or any other standard academic discipline. However, it may be related to certain concepts in materials science, specifically Laves phases. Laves phases are types of intermetallic compounds that typically have a specific crystal structure and are significant in the study of alloys and solid materials.


Laves graph

{wiki=Livingstone_graph}

A Livingstone graph is a type of mathematical graph used in the field of graph theory, specifically in relation to the study of networks and topological structures. It is named after the mathematician William Livingstone, though the term may not be widely recognized in all mathematical literature. Livingstone graphs are characterized by certain properties unique to their structure, often being studied for their applications in biology, chemistry, and network design.


Livingstone graph

{wiki=Shuffle-exchange_network}

A Shuffle-Exchange Network (SEN) is a type of multistage interconnection network used primarily in parallel computing architectures. It is designed to facilitate efficient communication between multiple processors or nodes within a system. The Shuffle-Exchange Network supports operations by efficiently routing data between processors in a way that can help minimize delays and improve communication bandwidth. \#\#\# Key Characteristics: 1. **Structure**: The network consists of multiple stages of switches connected in a specific topology.


Shuffle-exchange network

{wiki=Sudoku_graph}

A Sudoku graph is a mathematical representation of a Sudoku puzzle using graph theory concepts. In this representation, the elements of the puzzle—such as the numbers in the grid—are mapped to vertices (or nodes) in a graph, and the constraints of Sudoku are represented by edges connecting those vertices. \#\#\# Basic Structure of a Sudoku Graph: 1. **Vertices**: Each cell in the Sudoku grid can be represented as a vertex.


Sudoku graph

{wiki=Supersingular_isogeny_graph}

A supersingular isogeny graph is a mathematical structure used primarily in number theory and algebraic geometry, particularly in the study of elliptic curves and their isogenies (which are morphisms between elliptic curves that respect the group structure). These graphs have become increasingly important in the field of cryptography, especially in post-quantum cryptographic protocols.


Supersingular isogeny graph

{wiki=Robertson_graph}

The Robertson graph is a specific type of strongly regular graph named after the mathematician Neil Robertson. It is a well-known example in the study of strongly regular graphs, which are a class of graphs characterized by regularity conditions on their vertex connectivity. The Robertson graph has the following properties: - It has 12 vertices. - Each vertex has a degree of 6 (i.e., it is 6-regular). - For any two adjacent vertices, there are exactly 3 common neighbors.


Robertson graph

{wiki=Robertson–Wegner_graph}

The Robertson–Wegner graph, often discussed in the context of combinatorial graph theory and vertex properties, is a specific type of graph used to illustrate certain structural characteristics in graph theory, particularly for the study of certain properties of graphs such as vertex colorability and independence. \#\#\# Key Features 1. **Vertices and Edges**: The Robertson–Wegner graph is illustrated with a specific set of vertices and edges that meet certain combinatorial criteria.


Robertson–Wegner graph

{wiki=Guatemala_City_Choirbooks}

The Guatemala City Choirbooks, also known as the "Guatemala City Polyphonic Choirbooks," are a collection of music manuscripts from the 17th century that are significant for their historical and cultural value. They were created in the context of colonial Central America, particularly in Guatemala, and they represent an important aspect of the musical heritage of the region. These choirbooks contain a variety of polyphonic choral music, primarily for liturgical use in churches.


Guatemala City Choirbooks

{wiki=Gyffard_partbooks}

The Gyffard partbooks are a collection of musical manuscripts compiled in the late 16th century, specifically around the 1580s, which contain vocal music, primarily polyphony, for four voices. They are named after their owner, the Englishman John Gyffard, who was a member of the nobility and had an interest in music.


Gyffard partbooks

{wiki=Lambeth_Choirbook}

The Lambeth Choirbook is a significant collection of English choral music from the late 16th century, specifically compiled around 1598. It is named after Lambeth Palace, the London residence of the Archbishop of Canterbury. The choirbook contains a variety of sacred music, primarily composed for the Anglican Church, including settings of the Mass, motets, anthems, and other liturgical works.


Lambeth Choirbook

{wiki=Loire_Valley_chansonniers}

The term "Loire Valley chansonniers" typically refers to a group of musicians and singers who were active in the Loire Valley region of France, particularly during the Renaissance and early modern periods. The Loire Valley is known for its rich cultural heritage, including its historical châteaux, and it played a significant role in the development of French music and poetry. Chansonniers are collections of songs, often featuring a variety of lyrical themes such as love, nature, and daily life.


Loire Valley chansonniers

{wiki=Medici_Codex}

The Medici Codex, also known as the Medici Codex of Music, is a significant historical manuscript that pertains to Renaissance polyphony. It is a music book that has attracted interest for its collection of compositions from notable composers of the time, including those associated with the Florentine court. The codex is most famously associated with the family of the Medici, who were influential patrons of the arts and played a crucial role in the development of Renaissance culture, particularly in Florence.


Medici Codex

{wiki=My_Ladye_Nevells_Booke}

"My Ladye Nevell's Booke" is a notable collection of music that dates from the late 16th century. Specifically, it is a manuscript compiled around 1591 and is attributed to the English composer William Byrd, among other composers. The book is named after Lady Mary Nevill, a notable figure of the time who was a patron of the arts and a member of the English nobility.


My Ladye Nevells Booke

{wiki=Pepys_Manuscript}

The Pepys Manuscript refers to a collection of musical compositions and writings that are preserved in a manuscript compiled by Samuel Pepys, a notable 17th-century English naval administrator and diarist. Pepys is particularly well-known for his detailed diary that provides insights into English life during the Restoration period. The manuscript itself contains a variety of music and lyrics, including pieces for instruments and songs, reflecting the musical tastes of the time.


Pepys Manuscript

{wiki=Ritson_Manuscript}

The Ritson Manuscript is a collection of medieval English poetry, transcribed in the late 18th century by Joseph Ritson, an English antiquarian and scholar known for his work in the field of English literature and balladry. The manuscript includes a variety of texts, such as ballads, songs, and other forms of traditional English literature, showcasing the rich oral tradition of the time.


Ritson Manuscript

{wiki=Susanne_van_Soldt_Manuscript}

The Susanne van Soldt Manuscript is a significant collection of writings related to early modern art history, particularly pertaining to the art and culture of the Northern Renaissance. It may include discussions of artists, techniques, and cultural influences of the time. However, details about this specific manuscript, including its content and significance, may vary based on the context in which it is mentioned.


Wikipedia Bot @wikibot 0