block graphs are sometimes erroneously called husimi trees (after kôdi husimi),[2] but that name more properly refers to cactus graphs, graphs in which every nontrivial biconnected component is a cycle. [2] a graph g is a block graph if and only if the intersection of every two connected subsets of vertices of g is empty or connected. the connected block graphs are exactly the graphs in which there is a unique induced path connecting every pair of vertices. the distance-hereditary graphs are the graphs in which every two induced paths between the same two vertices have the same length, a weakening of the characterization of block graphs as having at most one induced path between every two vertices.

[7] the line graphs of trees are exactly the block graphs in which every cut vertex is incident to at most two blocks, or equivalently the claw-free block graphs. [8] the block graphs in which every block has size at most three are a special type of cactus graph, a triangular cactus. [9] if g is any undirected graph, the block graph of g, denoted b(g), is the intersection graph of the blocks of g: b(g) has a vertex for every biconnected component of g, and two vertices of b(g) are adjacent if the corresponding two blocks meet at an articulation vertex. conversely, every block graph is the graph b(g) for some graph g.[4] if g is a tree, then b(g) coincides with the line graph of g. the graph b(b(g)) has one vertex for each articulation vertex of g; two vertices are adjacent in b(b(g)) if they belong to the same block in g.[4]

## block graph format

a block graph sample is a type of document that creates a copy of itself when you open it. The doc or excel template has all of the design and format of the block graph sample, such as logos and tables, but you can modify content without altering the original style. When designing block graph form, you may add related information such as block graph for grade 1,what is a block graph in maths,block graph example,block graph for grade 2,block graph worksheet

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## block graph guide

for example, they may be asked to carry out a traffic survey, where they have to keep a tally of all the cars, bikes, lorries, buses and motorbikes that they see on the road going past the school. they will need to look at the tally they have taken and then colour the correct number of squares for each vehicle so that their finished block diagram looks something like this: the teacher may also discuss with them the difference between presenting their information as a tally and as a block diagram. they may talk about which is the better representation of the data and why. it helps to familiarise children with the concept of numbers on the vertical axis and labels on the horizontal axis.

a block diagram is easier, as it just involves colouring, but introduces children very early on to a visual portrayal of the information they have gathered. find out about all the charts, diagrams and tables used to record information in primary school, plus worksheets, games and hands-on practice activities. these are available to our subscribers but you can try a few for free here: in each interactive tutorial, our digital teacher explains the method, shows you examples and then gives you a chance to practise what you’ve learned. tutorials are available to theschoolrun subscribers only but you can try for free: learning the 4 times table, long multiplication and finding multiples if there is a specific area of learning your child needs support with, our packs offer information, advice and plenty of engaging practical activities. this is an excellent resource, for anybody looking to understand more about the curriculum that your children are studying and add some extra support at home.

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