3,321 results for edge

arxiv.org/abs/1907.09838v2

Injective edge-coloring of sparse graphs

An injective edge-coloring $c$ of a graph $G$ is an edge-coloring such that if $e_1$, $e_2$, and $e_3$ are three consecutive edges in $G$ (they are consecutive if they form a path or a cycle of length three), then $e_1$ and $e_3$ receive different co...

arxiv.org/abs/2505.21290v3

Rainbow copies of spanning subgraphs

Let $G_{n,p}^{[κ]}$ denote the space of $n$-vertex edge coloured graphs, where each edge occurs independently with probability $p$. The colour of each existing edge is chosen independently and uniformly at random from the set $[κ]$. We consider the...

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arxiv.org/abs/1309.5759v1

Maker-Breaker games on random geometric graphs

In a Maker-Breaker game on a graph $G$, Breaker and Maker alternately claim edges of $G$. Maker wins if, after all edges have been claimed, the graph induced by his edges has some desired property. We consider four Maker-Breaker games played on rando...

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arxiv.org/abs/1910.04931v1

On the automorphism groups of graphs with twice prime valency

A graph is edge-transitive if its automorphism group acts transitively on the edge set. In this paper, we investigate the automorphism groups of edge-transitive graphs of odd order and twice prime valency. Let $Γ$ be a connected graph of odd order a...

arxiv.org/abs/1503.01386v2

Saturated simple and 2-simple topological graphs with few edges

A simple topological graph is a topological graph in which any two edges have at most one common point, which is either their common endpoint or a proper crossing. More generally, in a k-simple topological graph, every pair of edges has at most k c...

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arxiv.org/abs/2512.12231v1

On Well-VE-Dominated Graphs

Given a graph G=(V, E), a vertex is said to ve-dominate an edge if it is either incident with the edge or adjacent to one of its endpoints. A set of vertices is a ve-dominating set if it ve-dominates every edge of the graph. We introduce the class of...

arxiv.org/abs/1906.01832v1

Proper disconnection of graphs

For an edge-colored graph $G$, a set $F$ of edges of $G$ is called a \emph{proper cut} if $F$ is an edge-cut of $G$ and any pair of adjacent edges in $F$ are assigned by different colors. An edge-colored graph is \emph{proper disconnected} if for eac...

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Better Than Hockey Camp: How Young Athletes Can Train for ...

Feb 16, 2026 · What makes Hockey Edge different? The Hockey Edge replicates the exact lateral movement your skates make on ice. Side-to-side explosiveness. Edge control. The stride power that …

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