The Maximum Degree of Series-Parallel Graphs
نویسندگان
چکیده
MICHAEL DRMOTA, OMER GIMÉNEZ and MARC NOY Combinatorics, Probability and Computing / Volume 20 / Issue 04 / July 2011, pp 529 570 DOI: 10.1017/S0963548311000198, Published online: 31 May 2011 Link to this article: http://journals.cambridge.org/abstract_S0963548311000198 How to cite this article: MICHAEL DRMOTA, OMER GIMÉNEZ and MARC NOY (2011). The Maximum Degree of Series Parallel Graphs. Combinatorics, Probability and Computing, 20, pp 529570 doi:10.1017/ S0963548311000198 Request Permissions : Click here
منابع مشابه
The maximum degree of planar graphs I. Series-parallel graphs
We prove that the maximum degree ∆n of a random series-parallel graph with n vertices satisfies ∆n/ log n → c in probability, and E∆n ∼ c log n for a computable constant c > 0. The same result holds for outerplanar graphs.
متن کاملOn Maximum Common Subgraph Problems in Series-Parallel Graphs
The complexity of the maximum common connected subgraph problem in partial k-trees is still not fully understood. Polynomial-time solutions are known for degree-bounded outerplanar graphs, a subclass of the partial 2-trees. On the contrary, the problem is known to be NP-hard in vertex-labeled partial 11-trees of bounded degree. We consider series-parallel graphs, i.e., partial 2-trees. We show ...
متن کاملOn reverse degree distance of unicyclic graphs
The reverse degree distance of a connected graph $G$ is defined in discrete mathematical chemistry as [ r (G)=2(n-1)md-sum_{uin V(G)}d_G(u)D_G(u), ] where $n$, $m$ and $d$ are the number of vertices, the number of edges and the diameter of $G$, respectively, $d_G(u)$ is the degree of vertex $u$, $D_G(u)$ is the sum of distance between vertex $u$ and all other vertices of $G$, and $V(G)$ is the...
متن کاملGenus Distributions of cubic series-parallel graphs
We derive a quadratic-time algorithm for the genus distribution of any 3-regular, biconnected series-parallel graph, which we extend to any biconnected series-parallel graph of maximum degree at most 3. Since the biconnected components of every graph of treewidth 2 are series-parallel graphs, this yields, by use of bar-amalgamation, a quadratic-time algorithm for every graph of treewidth at mos...
متن کاملk-forested choosability of graphs with bounded maximum average degree
A proper vertex coloring of a simple graph is $k$-forested if the graph induced by the vertices of any two color classes is a forest with maximum degree less than $k$. A graph is $k$-forested $q$-choosable if for a given list of $q$ colors associated with each vertex $v$, there exists a $k$-forested coloring of $G$ such that each vertex receives a color from its own list. In this paper, we prov...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Combinatorics, Probability & Computing
دوره 20 شماره
صفحات -
تاریخ انتشار 2011