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  1. chat4free.netchat4free - dein kostenloser Chat

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  2. www.sciencedirect.com › science › articleEdge-fault diameter of C4-free graphs - ScienceDirect

    1. Jan. 2024 · Improved bounds on the edge-fault diameter were given for triangle-free graphs, but not for C 4-free graphs. The aim of this paper is to fill this gap by presenting best possible bounds on the k-edge-fault diameter for C 4-free graphs.

  3. www.sciencedirect.com › science › articleExtremal graphs without 4-cycles - ScienceDirect

    1. Mai 2013 · This graph is C 4 -free, has q 2 vertices degree q+ 1, and q+1ofdegreeq, for a total of 1 2 q(q+ 1) 2 edges. Füredi determined the first exact result that encompasses infinitely many n, namely that ex(q 2 + +1,C 4 ) 1 2 q(q+1) 2 for q> 13 [7,8], with equality if and only if the graph is an orthogonal polarity aph of a plane of ...

    • Frank A. Firke, Peter M. Kosek, Evan D. Nash, Jason Williford
    • 2013

  4. arxiv.org › abs › 1512[1512.04385] Extremal C4-free/C5-free planar graphs - arXiv.org

    14. Dez. 2015 · Extremal C4-free/C5-free planar graphs. We study the topic of "extremal" planar graphs, defining exP(n, H) to be the maximum number of edges possible in a planar graph on n vertices that does not contain a given graph H as a subgraph.

    • Chris Dowden
    • 2015

  5. www.graphclasses.org › classes › gc_360C_4--free graphs - Graph Classes

    25. Dez. 2023 · A path decomposition of a graph $G$ is a pair $ (P,X)$ where $P$ is a path with vertex set $\ {1, \ldots, q\}$, and $X = \ {X_1,X_2, \ldots ,X_q\}$ is a family of vertex subsets of $V (G)$ such that: $\bigcup_ {p \in \ {1,\ldots ,q\}} X_p = V (G)$. $\forall\ {u,v\} \in E (G) \exists p \colon u, v \in X_p$.

  6. link.springer.com › article › 10C4-free edge ideals | Journal of Algebraic Combinatorics -...

    4. Apr. 2012 · This note focuses on a wider class of edge ideals: the C 4-free edge ideals. As we will see, such ideals arise naturally when we study edge ideals whose powers have linear minimal free resolutions. We say that I G is C 4 -free if the complement graph G c has no induced 4-cycles.

  7. www.sciencedirect.com › science › articleThe maximum spectral radius of C 4 -free graphs of given order...

    1. Juni 2009 · The resulting graph G prime is C 4 -free and has m edges. Also, we see that summationdisplay ij∈E(G prime ) x i x j = summationdisplay ij∈E(G) x i x j + x u (x 1 − x k ) + x w (x 1 − x l ) + x v (x 1 − x u ) greaterorequalslant summationdisplay ij∈E(G) x i x j .

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